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

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


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

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

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

Combine like terms: 6 + 4 = 10
10 + -3x + -4x = -2(2x + -4) + -4x + 4

Combine like terms: -3x + -4x = -7x
10 + -7x = -2(2x + -4) + -4x + 4

Reorder the terms:
10 + -7x = -2(-4 + 2x) + -4x + 4
10 + -7x = (-4 * -2 + 2x * -2) + -4x + 4
10 + -7x = (8 + -4x) + -4x + 4

Reorder the terms:
10 + -7x = 8 + 4 + -4x + -4x

Combine like terms: 8 + 4 = 12
10 + -7x = 12 + -4x + -4x

Combine like terms: -4x + -4x = -8x
10 + -7x = 12 + -8x

Solving
10 + -7x = 12 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
10 + -7x + 8x = 12 + -8x + 8x

Combine like terms: -7x + 8x = 1x
10 + 1x = 12 + -8x + 8x

Combine like terms: -8x + 8x = 0
10 + 1x = 12 + 0
10 + 1x = 12

Add '-10' to each side of the equation.
10 + -10 + 1x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 12 + -10
1x = 12 + -10

Combine like terms: 12 + -10 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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