4(x-4)-x=2(x-6)

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Solution for 4(x-4)-x=2(x-6) equation:


Simplifying
4(x + -4) + -1x = 2(x + -6)

Reorder the terms:
4(-4 + x) + -1x = 2(x + -6)
(-4 * 4 + x * 4) + -1x = 2(x + -6)
(-16 + 4x) + -1x = 2(x + -6)

Combine like terms: 4x + -1x = 3x
-16 + 3x = 2(x + -6)

Reorder the terms:
-16 + 3x = 2(-6 + x)
-16 + 3x = (-6 * 2 + x * 2)
-16 + 3x = (-12 + 2x)

Solving
-16 + 3x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-16 + 3x + -2x = -12 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-16 + 1x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-16 + 1x = -12 + 0
-16 + 1x = -12

Add '16' to each side of the equation.
-16 + 16 + 1x = -12 + 16

Combine like terms: -16 + 16 = 0
0 + 1x = -12 + 16
1x = -12 + 16

Combine like terms: -12 + 16 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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