32(18-2.5x)=13(2x-5)+156

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Solution for 32(18-2.5x)=13(2x-5)+156 equation: 


Simplifying
32(18 + -2.5x) = 13(2x + -5) + 156
(18 * 32 + -2.5x * 32) = 13(2x + -5) + 156
(576 + -80x) = 13(2x + -5) + 156

Reorder the terms:
576 + -80x = 13(-5 + 2x) + 156
576 + -80x = (-5 * 13 + 2x * 13) + 156
576 + -80x = (-65 + 26x) + 156

Reorder the terms:
576 + -80x = -65 + 156 + 26x

Combine like terms: -65 + 156 = 91
576 + -80x = 91 + 26x

Solving
576 + -80x = 91 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
576 + -80x + -26x = 91 + 26x + -26x

Combine like terms: -80x + -26x = -106x
576 + -106x = 91 + 26x + -26x

Combine like terms: 26x + -26x = 0
576 + -106x = 91 + 0
576 + -106x = 91

Add '-576' to each side of the equation.
576 + -576 + -106x = 91 + -576

Combine like terms: 576 + -576 = 0
0 + -106x = 91 + -576
-106x = 91 + -576

Combine like terms: 91 + -576 = -485
-106x = -485

Divide each side by '-106'.
x = 4.575471698

Simplifying
x = 4.575471698

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