8(12-x)=5(x+1)

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Solution for 8(12-x)=5(x+1) equation:


Simplifying
8(12 + -1x) = 5(x + 1)
(12 * 8 + -1x * 8) = 5(x + 1)
(96 + -8x) = 5(x + 1)

Reorder the terms:
96 + -8x = 5(1 + x)
96 + -8x = (1 * 5 + x * 5)
96 + -8x = (5 + 5x)

Solving
96 + -8x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
96 + -8x + -5x = 5 + 5x + -5x

Combine like terms: -8x + -5x = -13x
96 + -13x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
96 + -13x = 5 + 0
96 + -13x = 5

Add '-96' to each side of the equation.
96 + -96 + -13x = 5 + -96

Combine like terms: 96 + -96 = 0
0 + -13x = 5 + -96
-13x = 5 + -96

Combine like terms: 5 + -96 = -91
-13x = -91

Divide each side by '-13'.
x = 7

Simplifying
x = 7

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