2x-3(x-1)=15-4x

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Solution for 2x-3(x-1)=15-4x equation:


Simplifying
2x + -3(x + -1) = 15 + -4x

Reorder the terms:
2x + -3(-1 + x) = 15 + -4x
2x + (-1 * -3 + x * -3) = 15 + -4x
2x + (3 + -3x) = 15 + -4x

Reorder the terms:
3 + 2x + -3x = 15 + -4x

Combine like terms: 2x + -3x = -1x
3 + -1x = 15 + -4x

Solving
3 + -1x = 15 + -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.
3 + -1x + 4x = 15 + -4x + 4x

Combine like terms: -1x + 4x = 3x
3 + 3x = 15 + -4x + 4x

Combine like terms: -4x + 4x = 0
3 + 3x = 15 + 0
3 + 3x = 15

Add '-3' to each side of the equation.
3 + -3 + 3x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 3x = 15 + -3
3x = 15 + -3

Combine like terms: 15 + -3 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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