6x-7=x-12

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Solution for 6x-7=x-12 equation:


Simplifying
6x + -7 = x + -12

Reorder the terms:
-7 + 6x = x + -12

Reorder the terms:
-7 + 6x = -12 + x

Solving
-7 + 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.
-7 + 6x + -1x = -12 + x + -1x

Combine like terms: 6x + -1x = 5x
-7 + 5x = -12 + x + -1x

Combine like terms: x + -1x = 0
-7 + 5x = -12 + 0
-7 + 5x = -12

Add '7' to each side of the equation.
-7 + 7 + 5x = -12 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = -12 + 7
5x = -12 + 7

Combine like terms: -12 + 7 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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