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

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


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

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

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

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

Combine like terms: -2 + 3 = 1
1 + 2x + -3x = 4x

Combine like terms: 2x + -3x = -1x
1 + -1x = 4x

Solving
1 + -1x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1 + -1x + -4x = 4x + -4x

Combine like terms: -1x + -4x = -5x
1 + -5x = 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -5x = 0

Add '-1' to each side of the equation.
1 + -1 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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