76-(5x+12)=5(x+4)+x

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Solution for 76-(5x+12)=5(x+4)+x equation:


Simplifying
76 + -1(5x + 12) = 5(x + 4) + x

Reorder the terms:
76 + -1(12 + 5x) = 5(x + 4) + x
76 + (12 * -1 + 5x * -1) = 5(x + 4) + x
76 + (-12 + -5x) = 5(x + 4) + x

Combine like terms: 76 + -12 = 64
64 + -5x = 5(x + 4) + x

Reorder the terms:
64 + -5x = 5(4 + x) + x
64 + -5x = (4 * 5 + x * 5) + x
64 + -5x = (20 + 5x) + x

Combine like terms: 5x + x = 6x
64 + -5x = 20 + 6x

Solving
64 + -5x = 20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
64 + -5x + -6x = 20 + 6x + -6x

Combine like terms: -5x + -6x = -11x
64 + -11x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0
64 + -11x = 20 + 0
64 + -11x = 20

Add '-64' to each side of the equation.
64 + -64 + -11x = 20 + -64

Combine like terms: 64 + -64 = 0
0 + -11x = 20 + -64
-11x = 20 + -64

Combine like terms: 20 + -64 = -44
-11x = -44

Divide each side by '-11'.
x = 4

Simplifying
x = 4

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