3x-13=2x-6

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Solution for 3x-13=2x-6 equation:


Simplifying
3x + -13 = 2x + -6

Reorder the terms:
-13 + 3x = 2x + -6

Reorder the terms:
-13 + 3x = -6 + 2x

Solving
-13 + 3x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-13 + 3x + -2x = -6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-13 + 1x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 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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