6x+3=x-12

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Solution for 6x+3=x-12 equation:


Simplifying
6x + 3 = x + -12

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

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

Solving
3 + 6x = -12 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + 6x + -1x = -12 + x + -1x

Combine like terms: 6x + -1x = 5x
3 + 5x = -12 + x + -1x

Combine like terms: x + -1x = 0
3 + 5x = -12 + 0
3 + 5x = -12

Add '-3' to each side of the equation.
3 + -3 + 5x = -12 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = -12 + -3
5x = -12 + -3

Combine like terms: -12 + -3 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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