Question

Solve the equation
x-89=7(2x+3)-6

Answer 1

Answer:
`x=-8`

Simplify both sides of the equation

`x+-89=(7)(2x)+(7)(3)+-6(Distribute)\\x+-89=14x+21+-6`

`x-89=(14x)+(21+-6)` (Combine Like Terms)

`x-89=14x+15`

Subtract 14x from both sides

`x-89-14x=14x+15-14x\\-13x-89=15`

Add 89 to both sides

`-13x-89+89=15+89\\-13x=104`

Divide both sides by -13

`-13x/-13=104/-13\\x=-8`

Answer 2

x= -8

Explanation:

x-89=7(2x+3)-6 distribute 7

x-89=14x+21-6 add like terms

-13x=104 divide

x=-8