Question

Solve the following:
-(6x + 6) +2=-6x-3

Answer 1

No Solution, 0 = 1

Explanation:

a) Simplify both sides of the equation.

−(6x + 6) + 2 = −6x − 3

−6x+ −6 + 2 = −6x + −3

(−6x) + (−6 + 2) = −6x − 3

−6x + −4 = −6x − 3

−6x − 4 = −6x − 3

b) Add 6x to both sides.

−6x − 4 + 6x = −6x − 3 + 6x

−4 = −3

c) Add 4 to both sides.

−4 + 4 = −3 + 4

0 = 1

Answer 2

no solution

Explanation:

- (6x + 6) + 2 = - 6x - 3 ← distribute parenthesis on left side and simplify

- 6x - 6 + 2 = - 6x - 3

- 6x - 4 = - 6x - 3 ( add 4 to both sides )

- 6x = - 6x + 1 ( add 6x to both sides )

0 = 1 ← not possible

this indicates the equation has no solution