5-(8x-7)=31x-(90+28x)-45

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Solution for 5-(8x-7)=31x-(90+28x)-45 equation:


Simplifying
5 + -1(8x + -7) = 31x + -1(90 + 28x) + -45

Reorder the terms:
5 + -1(-7 + 8x) = 31x + -1(90 + 28x) + -45
5 + (-7 * -1 + 8x * -1) = 31x + -1(90 + 28x) + -45
5 + (7 + -8x) = 31x + -1(90 + 28x) + -45

Combine like terms: 5 + 7 = 12
12 + -8x = 31x + -1(90 + 28x) + -45
12 + -8x = 31x + (90 * -1 + 28x * -1) + -45
12 + -8x = 31x + (-90 + -28x) + -45

Reorder the terms:
12 + -8x = -90 + -45 + 31x + -28x

Combine like terms: -90 + -45 = -135
12 + -8x = -135 + 31x + -28x

Combine like terms: 31x + -28x = 3x
12 + -8x = -135 + 3x

Solving
12 + -8x = -135 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + -8x + -3x = -135 + 3x + -3x

Combine like terms: -8x + -3x = -11x
12 + -11x = -135 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -11x = -135 + 0
12 + -11x = -135

Add '-12' to each side of the equation.
12 + -12 + -11x = -135 + -12

Combine like terms: 12 + -12 = 0
0 + -11x = -135 + -12
-11x = -135 + -12

Combine like terms: -135 + -12 = -147
-11x = -147

Divide each side by '-11'.
x = 13.36363636

Simplifying
x = 13.36363636

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