4(3x-4(x-2))=x-13

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Solution for 4(3x-4(x-2))=x-13 equation:


Simplifying
4(3x + -4(x + -2)) = x + -13

Reorder the terms:
4(3x + -4(-2 + x)) = x + -13
4(3x + (-2 * -4 + x * -4)) = x + -13
4(3x + (8 + -4x)) = x + -13

Reorder the terms:
4(8 + 3x + -4x) = x + -13

Combine like terms: 3x + -4x = -1x
4(8 + -1x) = x + -13
(8 * 4 + -1x * 4) = x + -13
(32 + -4x) = x + -13

Reorder the terms:
32 + -4x = -13 + x

Solving
32 + -4x = -13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
32 + -4x + -1x = -13 + x + -1x

Combine like terms: -4x + -1x = -5x
32 + -5x = -13 + x + -1x

Combine like terms: x + -1x = 0
32 + -5x = -13 + 0
32 + -5x = -13

Add '-32' to each side of the equation.
32 + -32 + -5x = -13 + -32

Combine like terms: 32 + -32 = 0
0 + -5x = -13 + -32
-5x = -13 + -32

Combine like terms: -13 + -32 = -45
-5x = -45

Divide each side by '-5'.
x = 9

Simplifying
x = 9

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