7x-13=6x-6

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Solution for 7x-13=6x-6 equation:


Simplifying
7x + -13 = 6x + -6

Reorder the terms:
-13 + 7x = 6x + -6

Reorder the terms:
-13 + 7x = -6 + 6x

Solving
-13 + 7x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-13 + 7x + -6x = -6 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-13 + 1x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-13 + 1x = -6 + 0
-13 + 1x = -6

Add '13' to each side of the equation.
-13 + 13 + 1x = -6 + 13

Combine like terms: -13 + 13 = 0
0 + 1x = -6 + 13
1x = -6 + 13

Combine like terms: -6 + 13 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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