Question

Solving for x - (6x -5) = 2x+6 2

Answer 1

we have

`(6x-5)/(2)=2x+6`

step 1

Multiply by 2 both sides

`\begin{gathered} 6x-5=2(2x+6) \\ 6x-5=4x+12 \end{gathered}`

step 2

Group terms

`6x-4x=12+5`

Combine like terms

`2x=17`

divide by 2 both sides

`\begin{gathered} x=(17)/(2) \\ x=8.5 \end{gathered}`

Verify

substitute the value of x in the original expression

`\begin{gathered} (6(8.5)-5)/(2)=2(8.5)+6 \\ 23=23 \end{gathered}`

is ok

the value of x satisfy the equation