Phương pháp giải:

- Muốn tìm một số hạng ta lấy tổng trừ đi số hạng kia.

- Muốn tìm một thừa số ta lấy tích chia cho thừa số kia. 

Lời giải chi tiết:

a)

● x + 3 = 6

    x = 6 − 3

    x = 3

● x × 3 = 6

    x = 6 : 3

    x = 2

b)

● 4 + x = 12

    x = 12 − 4

    x = 8

● 4 × x = 12

    x = 12 : 4

    x = 3

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a)x=4-12=-8

b)x=19-0=19

c)x=-12+4:2=-4

d)x=6+(-2):2=2

8 ban a,k cho minh nhe

giải hộ mình với ghi rõ lời nha

\(12.\left(x-6\right)=4.x+12\) ( dấu . là nhân nha bạn )

\(< =>12x-72=4x+12\)

\(< =>12x-4x-72-12=0\)

\(< =>8x-84=0\)\(< =>8x=84\)

\(< =>x=\frac{84}{8}=\frac{21}{2}\)

Sửa đề: Tìm x là số nguyên

a) -27/3 < x < 12/4

⇒ -9 < x < 3

⇒ x ∈ {-8; -7; -6; ...; 1; 2}

b) -28/4 ≤ x ≤ -12/6

⇒ -7 ≤ x ≤ -2

⇒ x ∈{-7; -6; -5; -4; -3; -2}

\(\frac{x+12}{7}+\frac{x+4}{15}+\frac{x+6}{13}=\frac{x+8}{11}+\frac{x+10}{9}+\frac{x+12}{7}\)

=>\(\left(\frac{x+12}{7}+1\right)+\left(\frac{x+4}{15}+1\right)+\left(\frac{x+6}{13}+1\right)=\left(\frac{x+8}{11}+1\right)+\left(\frac{x+10}{9}+1\right)+\left(\frac{x+12}{7}+1\right)\)

=> \(\frac{x+19}{7}+\frac{x+19}{15}+\frac{x+19}{13}=\frac{x+19}{11}+\frac{x+19}{9}+\frac{x+19}{7}\)

=> \(\frac{x+19}{7}+\frac{x+19}{15}+\frac{x+19}{13}-\frac{x+19}{11}-\frac{x+19}{9}-\frac{x+19}{7}=0\)

\(\Rightarrow\left(x+19\right)\left(\frac{1}{7}+\frac{1}{15}+\frac{1}{13}-\frac{1}{11}-\frac{1}{9}-\frac{1}{7}\right)=0\)

=> x + 19 = 0 Vì \(\frac{1}{7}+\frac{1}{15}+\frac{1}{13}-\frac{1}{11}-\frac{1}{9}-\frac{1}{7}\ne0\)

=> x = - 19

Bài làm:

Ta có: \(\frac{x+12}{7}+\frac{x+4}{15}+\frac{x+6}{13}=\frac{x+8}{11}+\frac{x+10}{9}+\frac{x+12}{7}\)

\(\Leftrightarrow\left(\frac{x+12}{7}+1\right)+\left(\frac{x+4}{15}+1\right)+\left(\frac{x+6}{13}+1\right)-\left(\frac{x+8}{11}+1\right)-\left(\frac{x+10}{9}+1\right)-\left(\frac{x+12}{7}+1\right)=0\)

\(\Leftrightarrow\frac{x+19}{7}+\frac{x+19}{15}+\frac{x+19}{13}-\frac{x+19}{11}-\frac{x+19}{9}-\frac{x+19}{7}=0\)

\(\Leftrightarrow\left(x+19\right)\left(\frac{1}{7}+\frac{1}{15}+\frac{1}{13}-\frac{1}{11}-\frac{1}{9}-\frac{1}{7}\right)=0\)

\(\Leftrightarrow\left(x+19\right)\left(\frac{1}{15}+\frac{1}{13}-\frac{1}{11}-\frac{1}{9}\right)=0\)

Mà \(\hept{\begin{cases}\frac{1}{15}< \frac{1}{11}\\\frac{1}{13}< \frac{1}{9}\end{cases}\Rightarrow}\frac{1}{15}+\frac{1}{13}-\frac{1}{11}-\frac{1}{9}< 0\)

\(\Rightarrow x+19=0\)

\(\Rightarrow x=-19\)

\(\frac{x+12}{7}+\frac{x+4}{15}+\frac{x+6}{13}=\frac{x+8}{11}+\frac{x+10}{9}+\frac{x+12}{7}\)

\(\Leftrightarrow\left(\frac{x+12}{7}+1\right)+\left(\frac{x+4}{15}+1\right)+\left(\frac{x+6}{13}+1\right)=\left(\frac{x+8}{11}+1\right)+\left(\frac{x+10}{9}+1\right)+\left(\frac{x+12}{7}+1\right)\)

\(\Leftrightarrow\frac{x+12+7}{7}+\frac{x+4+15}{15}+\frac{x+6+13}{13}=\frac{x+8+11}{11}+\frac{x+10+9}{9}+\frac{x+12+7}{7}\)

\(\Leftrightarrow\frac{x+19}{7}+\frac{x+19}{15}+\frac{x+19}{13}=\frac{x+19}{11}+\frac{x+19}{9}+\frac{x+19}{7}\)

\(\Leftrightarrow\frac{x+19}{7}+\frac{x+19}{15}+\frac{x+19}{13}-\frac{x+19}{11}-\frac{x+19}{9}-\frac{x+19}{7}=0\)

\(\Leftrightarrow\left(x+19\right)\left(\frac{1}{7}+\frac{1}{15}+\frac{1}{13}-\frac{1}{11}-\frac{1}{9}-\frac{1}{7}\right)=0\)

Vì \(\frac{1}{7}+\frac{1}{15}+\frac{1}{13}-\frac{1}{11}-\frac{1}{9}-\frac{1}{7}\ne0\)

\(\Rightarrow x+19=0\Leftrightarrow x=-19\)

=> vế trong ngoặc là 0 nhoa

rồi bạn thay vô tính thôi

6/x = 4/6      ; 6/x giữ nguyên   4/6 = 2/3 = 6/9 => x= 9

x/72 = 10/16    ; 10/16 = 5/8 = 45/72    => x = 45

x + 1/6 =  2/3      x = 2/3 - 1/6 = 1/2   => x = 1/2

x - 2/12 = 3/4    x = 3/4 + 2/12 = 11/12

X + 1 =2
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