2x-13=3x-7

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Solution for 2x-13=3x-7 equation:


Simplifying
2x + -13 = 3x + -7

Reorder the terms:
-13 + 2x = 3x + -7

Reorder the terms:
-13 + 2x = -7 + 3x

Solving
-13 + 2x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-13 + 2x + -3x = -7 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-13 + -1x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-13 + -1x = -7 + 0
-13 + -1x = -7

Add '13' to each side of the equation.
-13 + 13 + -1x = -7 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = -7 + 13
-1x = -7 + 13

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

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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