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

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


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

Reorder the terms:
8(7 + x) + 8(x + 1) = 7x + -7
(7 * 8 + x * 8) + 8(x + 1) = 7x + -7
(56 + 8x) + 8(x + 1) = 7x + -7

Reorder the terms:
56 + 8x + 8(1 + x) = 7x + -7
56 + 8x + (1 * 8 + x * 8) = 7x + -7
56 + 8x + (8 + 8x) = 7x + -7

Reorder the terms:
56 + 8 + 8x + 8x = 7x + -7

Combine like terms: 56 + 8 = 64
64 + 8x + 8x = 7x + -7

Combine like terms: 8x + 8x = 16x
64 + 16x = 7x + -7

Reorder the terms:
64 + 16x = -7 + 7x

Solving
64 + 16x = -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.
64 + 16x + -7x = -7 + 7x + -7x

Combine like terms: 16x + -7x = 9x
64 + 9x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
64 + 9x = -7 + 0
64 + 9x = -7

Add '-64' to each side of the equation.
64 + -64 + 9x = -7 + -64

Combine like terms: 64 + -64 = 0
0 + 9x = -7 + -64
9x = -7 + -64

Combine like terms: -7 + -64 = -71
9x = -71

Divide each side by '9'.
x = -7.888888889

Simplifying
x = -7.888888889

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