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

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


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

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

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

Reorder the terms:
-2 + 8 + 2x + -4x = -3x

Combine like terms: -2 + 8 = 6
6 + 2x + -4x = -3x

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

Solving
6 + -2x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + -2x + 3x = -3x + 3x

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

Combine like terms: -3x + 3x = 0
6 + 1x = 0

Add '-6' to each side of the equation.
6 + -6 + 1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 0 + -6
1x = 0 + -6

Combine like terms: 0 + -6 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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