8(x+4)+5(x+4)=5x-5

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Solution for 8(x+4)+5(x+4)=5x-5 equation:


Simplifying
8(x + 4) + 5(x + 4) = 5x + -5

Reorder the terms:
8(4 + x) + 5(x + 4) = 5x + -5
(4 * 8 + x * 8) + 5(x + 4) = 5x + -5
(32 + 8x) + 5(x + 4) = 5x + -5

Reorder the terms:
32 + 8x + 5(4 + x) = 5x + -5
32 + 8x + (4 * 5 + x * 5) = 5x + -5
32 + 8x + (20 + 5x) = 5x + -5

Reorder the terms:
32 + 20 + 8x + 5x = 5x + -5

Combine like terms: 32 + 20 = 52
52 + 8x + 5x = 5x + -5

Combine like terms: 8x + 5x = 13x
52 + 13x = 5x + -5

Reorder the terms:
52 + 13x = -5 + 5x

Solving
52 + 13x = -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.
52 + 13x + -5x = -5 + 5x + -5x

Combine like terms: 13x + -5x = 8x
52 + 8x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
52 + 8x = -5 + 0
52 + 8x = -5

Add '-52' to each side of the equation.
52 + -52 + 8x = -5 + -52

Combine like terms: 52 + -52 = 0
0 + 8x = -5 + -52
8x = -5 + -52

Combine like terms: -5 + -52 = -57
8x = -57

Divide each side by '8'.
x = -7.125

Simplifying
x = -7.125

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