64-(4x+8)=4(x+5)+x

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Solution for 64-(4x+8)=4(x+5)+x equation:


Simplifying
64 + -1(4x + 8) = 4(x + 5) + x

Reorder the terms:
64 + -1(8 + 4x) = 4(x + 5) + x
64 + (8 * -1 + 4x * -1) = 4(x + 5) + x
64 + (-8 + -4x) = 4(x + 5) + x

Combine like terms: 64 + -8 = 56
56 + -4x = 4(x + 5) + x

Reorder the terms:
56 + -4x = 4(5 + x) + x
56 + -4x = (5 * 4 + x * 4) + x
56 + -4x = (20 + 4x) + x

Combine like terms: 4x + x = 5x
56 + -4x = 20 + 5x

Solving
56 + -4x = 20 + 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.
56 + -4x + -5x = 20 + 5x + -5x

Combine like terms: -4x + -5x = -9x
56 + -9x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
56 + -9x = 20 + 0
56 + -9x = 20

Add '-56' to each side of the equation.
56 + -56 + -9x = 20 + -56

Combine like terms: 56 + -56 = 0
0 + -9x = 20 + -56
-9x = 20 + -56

Combine like terms: 20 + -56 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4

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