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

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


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

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

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

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

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

Solving
6 + -3x = 2 + 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 + -3x + -2x = 2 + 2x + -2x

Combine like terms: -3x + -2x = -5x
6 + -5x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -5x = 2 + 0
6 + -5x = 2

Add '-6' to each side of the equation.
6 + -6 + -5x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 2 + -6
-5x = 2 + -6

Combine like terms: 2 + -6 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

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