8(x+1)+7(x+1)=6x-6

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Solution for 8(x+1)+7(x+1)=6x-6 equation: 


Simplifying
8(x + 1) + 7(x + 1) = 6x + -6

Reorder the terms:
8(1 + x) + 7(x + 1) = 6x + -6
(1 * 8 + x * 8) + 7(x + 1) = 6x + -6
(8 + 8x) + 7(x + 1) = 6x + -6

Reorder the terms:
8 + 8x + 7(1 + x) = 6x + -6
8 + 8x + (1 * 7 + x * 7) = 6x + -6
8 + 8x + (7 + 7x) = 6x + -6

Reorder the terms:
8 + 7 + 8x + 7x = 6x + -6

Combine like terms: 8 + 7 = 15
15 + 8x + 7x = 6x + -6

Combine like terms: 8x + 7x = 15x
15 + 15x = 6x + -6

Reorder the terms:
15 + 15x = -6 + 6x

Solving
15 + 15x = -6 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
15 + 15x + -6x = -6 + 6x + -6x

Combine like terms: 15x + -6x = 9x
15 + 9x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + 9x = -6 + 0
15 + 9x = -6

Add '-15' to each side of the equation.
15 + -15 + 9x = -6 + -15

Combine like terms: 15 + -15 = 0
0 + 9x = -6 + -15
9x = -6 + -15

Combine like terms: -6 + -15 = -21
9x = -21

Divide each side by '9'.
x = -2.333333333

Simplifying
x = -2.333333333

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