7x-38=2x-13

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Solution for 7x-38=2x-13 equation:


Simplifying
7x + -38 = 2x + -13

Reorder the terms:
-38 + 7x = 2x + -13

Reorder the terms:
-38 + 7x = -13 + 2x

Solving
-38 + 7x = -13 + 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.
-38 + 7x + -2x = -13 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-38 + 5x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-38 + 5x = -13 + 0
-38 + 5x = -13

Add '38' to each side of the equation.
-38 + 38 + 5x = -13 + 38

Combine like terms: -38 + 38 = 0
0 + 5x = -13 + 38
5x = -13 + 38

Combine like terms: -13 + 38 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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