64-(4x+4)=4(x+6)+x

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Solution for 64-(4x+4)=4(x+6)+x equation:


Simplifying
64 + -1(4x + 4) = 4(x + 6) + x

Reorder the terms:
64 + -1(4 + 4x) = 4(x + 6) + x
64 + (4 * -1 + 4x * -1) = 4(x + 6) + x
64 + (-4 + -4x) = 4(x + 6) + x

Combine like terms: 64 + -4 = 60
60 + -4x = 4(x + 6) + x

Reorder the terms:
60 + -4x = 4(6 + x) + x
60 + -4x = (6 * 4 + x * 4) + x
60 + -4x = (24 + 4x) + x

Combine like terms: 4x + x = 5x
60 + -4x = 24 + 5x

Solving
60 + -4x = 24 + 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.
60 + -4x + -5x = 24 + 5x + -5x

Combine like terms: -4x + -5x = -9x
60 + -9x = 24 + 5x + -5x

Combine like terms: 5x + -5x = 0
60 + -9x = 24 + 0
60 + -9x = 24

Add '-60' to each side of the equation.
60 + -60 + -9x = 24 + -60

Combine like terms: 60 + -60 = 0
0 + -9x = 24 + -60
-9x = 24 + -60

Combine like terms: 24 + -60 = -36
-9x = -36

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

Simplifying
x = 4

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