6x-3(x-1)=-3+5x+12

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Solution for 6x-3(x-1)=-3+5x+12 equation:


Simplifying
6x + -3(x + -1) = -3 + 5x + 12

Reorder the terms:
6x + -3(-1 + x) = -3 + 5x + 12
6x + (-1 * -3 + x * -3) = -3 + 5x + 12
6x + (3 + -3x) = -3 + 5x + 12

Reorder the terms:
3 + 6x + -3x = -3 + 5x + 12

Combine like terms: 6x + -3x = 3x
3 + 3x = -3 + 5x + 12

Reorder the terms:
3 + 3x = -3 + 12 + 5x

Combine like terms: -3 + 12 = 9
3 + 3x = 9 + 5x

Solving
3 + 3x = 9 + 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.
3 + 3x + -5x = 9 + 5x + -5x

Combine like terms: 3x + -5x = -2x
3 + -2x = 9 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -2x = 9 + 0
3 + -2x = 9

Add '-3' to each side of the equation.
3 + -3 + -2x = 9 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 9 + -3
-2x = 9 + -3

Combine like terms: 9 + -3 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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