72-(4x+13)=4(x+8)+x

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Solution for 72-(4x+13)=4(x+8)+x equation: 


Simplifying
72 + -1(4x + 13) = 4(x + 8) + x

Reorder the terms:
72 + -1(13 + 4x) = 4(x + 8) + x
72 + (13 * -1 + 4x * -1) = 4(x + 8) + x
72 + (-13 + -4x) = 4(x + 8) + x

Combine like terms: 72 + -13 = 59
59 + -4x = 4(x + 8) + x

Reorder the terms:
59 + -4x = 4(8 + x) + x
59 + -4x = (8 * 4 + x * 4) + x
59 + -4x = (32 + 4x) + x

Combine like terms: 4x + x = 5x
59 + -4x = 32 + 5x

Solving
59 + -4x = 32 + 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.
59 + -4x + -5x = 32 + 5x + -5x

Combine like terms: -4x + -5x = -9x
59 + -9x = 32 + 5x + -5x

Combine like terms: 5x + -5x = 0
59 + -9x = 32 + 0
59 + -9x = 32

Add '-59' to each side of the equation.
59 + -59 + -9x = 32 + -59

Combine like terms: 59 + -59 = 0
0 + -9x = 32 + -59
-9x = 32 + -59

Combine like terms: 32 + -59 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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