6x-6=3(x-1)-4(7-2x)

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Solution for 6x-6=3(x-1)-4(7-2x) equation:


Simplifying
6x + -6 = 3(x + -1) + -4(7 + -2x)

Reorder the terms:
-6 + 6x = 3(x + -1) + -4(7 + -2x)

Reorder the terms:
-6 + 6x = 3(-1 + x) + -4(7 + -2x)
-6 + 6x = (-1 * 3 + x * 3) + -4(7 + -2x)
-6 + 6x = (-3 + 3x) + -4(7 + -2x)
-6 + 6x = -3 + 3x + (7 * -4 + -2x * -4)
-6 + 6x = -3 + 3x + (-28 + 8x)

Reorder the terms:
-6 + 6x = -3 + -28 + 3x + 8x

Combine like terms: -3 + -28 = -31
-6 + 6x = -31 + 3x + 8x

Combine like terms: 3x + 8x = 11x
-6 + 6x = -31 + 11x

Solving
-6 + 6x = -31 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-6 + 6x + -11x = -31 + 11x + -11x

Combine like terms: 6x + -11x = -5x
-6 + -5x = -31 + 11x + -11x

Combine like terms: 11x + -11x = 0
-6 + -5x = -31 + 0
-6 + -5x = -31

Add '6' to each side of the equation.
-6 + 6 + -5x = -31 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = -31 + 6
-5x = -31 + 6

Combine like terms: -31 + 6 = -25
-5x = -25

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

Simplifying
x = 5

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