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

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


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

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

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

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

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

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

Reorder the terms:
15 + 15x = -7 + 7x

Solving
15 + 15x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
15 + 15x + -7x = -7 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
15 + 8x = -7 + 0
15 + 8x = -7

Add '-15' to each side of the equation.
15 + -15 + 8x = -7 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = -7 + -15
8x = -7 + -15

Combine like terms: -7 + -15 = -22
8x = -22

Divide each side by '8'.
x = -2.75

Simplifying
x = -2.75

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