6=3(x-4)-(x-6)

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Solution for 6=3(x-4)-(x-6) equation: 


Simplifying
6 = 3(x + -4) + -1(x + -6)

Reorder the terms:
6 = 3(-4 + x) + -1(x + -6)
6 = (-4 * 3 + x * 3) + -1(x + -6)
6 = (-12 + 3x) + -1(x + -6)

Reorder the terms:
6 = -12 + 3x + -1(-6 + x)
6 = -12 + 3x + (-6 * -1 + x * -1)
6 = -12 + 3x + (6 + -1x)

Reorder the terms:
6 = -12 + 6 + 3x + -1x

Combine like terms: -12 + 6 = -6
6 = -6 + 3x + -1x

Combine like terms: 3x + -1x = 2x
6 = -6 + 2x

Solving
6 = -6 + 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.
6 + -2x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -2x = -6 + 0
6 + -2x = -6

Add '-6' to each side of the equation.
6 + -6 + -2x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -6 + -6
-2x = -6 + -6

Combine like terms: -6 + -6 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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