`3(x-2)-4x+5=2(2x+1)-18`
`<=>3x-6-4x+5=4x+2-18`
`<=>3x-4x-4x=2-18+6-5`
`<=>-5x=-15`
`<=>x=3`
`3(x-2)-4x+5=2(2x+1)-18`
`<=> 3x-6 -4x+5=4x+2-18`
`<=>-x -1 - 4x -2+18=0`
`<=> -5x +15=0`
`<=>-5x=-15`
`<=>x=3`
3(x-2)-4x+5=2(2x+1)-18
⇔3x-6-4x+5=4x+2-18
⇔3x-4x-4x=2-18+6-5
⇔-5x=-15
⇔x=3
\(3\left(x-2\right)-4x+5=2\left(2x+1\right)-18\)
\(\Leftrightarrow3x-6-4x+5=4x+2-18\)
\(\Leftrightarrow-x-1=4x-16\)
\(\Leftrightarrow-x-1-4x+16=0\)
\(\Leftrightarrow-5x+15=0\)
\(\Leftrightarrow-5x=-15\)
\(\Leftrightarrow x=3\)
\(\text{Vậy phương trình có tập nghiệm là }S=\left\{3\right\}\)