Question

Solve the following linear equation 5x+7=2(6x-14)+56

Answer 1

We have the next equation

`5x+7=2\mleft(6x-14\mright)+56​`

First we will simplify the equation

`5x+7=12x-28+56`

we sum like terms

`5x+7=12x+28`

we subtract 7 on both sides

`5x+7-7=12x+28-7`
`5x=12x+21`

we subtract -12x on both sides

`5x-12x=21`
`-7x=21`

we divide -7 into both sides

`(-7)/(-7)x=(21)/(-7)`
`x=-3`

the value of x is -3