(2x-7)=(3x-13)

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


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

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

Remove parenthesis around (-7 + 2x)
-7 + 2x = (3x + -13)

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

Remove parenthesis around (-13 + 3x)
-7 + 2x = -13 + 3x

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

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

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

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

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

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

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

Simplifying
x = 6

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