6=2(x-6)+4(2-3x)

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Solution for 6=2(x-6)+4(2-3x) equation:


Simplifying
6 = 2(x + -6) + 4(2 + -3x)

Reorder the terms:
6 = 2(-6 + x) + 4(2 + -3x)
6 = (-6 * 2 + x * 2) + 4(2 + -3x)
6 = (-12 + 2x) + 4(2 + -3x)
6 = -12 + 2x + (2 * 4 + -3x * 4)
6 = -12 + 2x + (8 + -12x)

Reorder the terms:
6 = -12 + 8 + 2x + -12x

Combine like terms: -12 + 8 = -4
6 = -4 + 2x + -12x

Combine like terms: 2x + -12x = -10x
6 = -4 + -10x

Solving
6 = -4 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
6 + 10x = -4 + -10x + 10x

Combine like terms: -10x + 10x = 0
6 + 10x = -4 + 0
6 + 10x = -4

Add '-6' to each side of the equation.
6 + -6 + 10x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = -4 + -6
10x = -4 + -6

Combine like terms: -4 + -6 = -10
10x = -10

Divide each side by '10'.
x = -1

Simplifying
x = -1

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