3x-2(x-1)=14-5x

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Solution for 3x-2(x-1)=14-5x equation:


Simplifying
3x + -2(x + -1) = 14 + -5x

Reorder the terms:
3x + -2(-1 + x) = 14 + -5x
3x + (-1 * -2 + x * -2) = 14 + -5x
3x + (2 + -2x) = 14 + -5x

Reorder the terms:
2 + 3x + -2x = 14 + -5x

Combine like terms: 3x + -2x = 1x
2 + 1x = 14 + -5x

Solving
2 + 1x = 14 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
2 + 1x + 5x = 14 + -5x + 5x

Combine like terms: 1x + 5x = 6x
2 + 6x = 14 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 6x = 14 + 0
2 + 6x = 14

Add '-2' to each side of the equation.
2 + -2 + 6x = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 14 + -2
6x = 14 + -2

Combine like terms: 14 + -2 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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