\(\frac{2\left(x+5\right)}{3}+\frac{x+12}{2}-\frac{5\left(x-2\right)}{6}=\frac{x}{3}+11\)
\(\Leftrightarrow\frac{4\left(x+5\right)}{6}+\frac{3\left(x+12\right)}{6}-\frac{5\left(x-2\right)}{6}-\frac{2x}{6}-\frac{66}{6}=0\)
\(\Leftrightarrow4x+20+3x+36-5x-10-2x-66=0\)
\(\Leftrightarrow0x-20=0\)
\(\Leftrightarrow0x=20\) ⇒ Phương trình vô nghiệm
Ta có:
\(\frac{2\left(x+5\right)}{3}+\frac{x+12}{2}-\frac{5\left(x-2\right)}{6}=\frac{x}{3}+11\)
\(\Leftrightarrow\frac{4\left(x+5\right)}{6}+\frac{3\left(x+12\right)}{6}-\frac{5\left(x-2\right)}{6}=\frac{2x}{6}+\frac{66}{6}\)
\(\Leftrightarrow4x+20+3x+36-5x+10=2x+66\)
\(\Leftrightarrow4x+3x-5x-2x=66-20-36-10\)
\(\Leftrightarrow0x=0\)
Vậy phương trình đúng với mọi x.
Chúc bạn học tốt@@
\(\Leftrightarrow4\left(x+5\right)+3\left(x+12\right)-\left[5\left(x-2\right)\right]=2x+66\)
\(\Leftrightarrow4x+20+3x+36-5x-10=2x+66\)
\(\Leftrightarrow2x+66=2x+66\)
\(\Leftrightarrow x=0\)
Giải các phuowg trình nhé mấy bạn
