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

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


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

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

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

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

Solving
4 + -1x = 2 + -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.
4 + -1x + 3x = 2 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
4 + 2x = 2 + 0
4 + 2x = 2

Add '-4' to each side of the equation.
4 + -4 + 2x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 2 + -4
2x = 2 + -4

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

Divide each side by '2'.
x = -1

Simplifying
x = -1

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