7x-49=5x-13

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Solution for 7x-49=5x-13 equation:


Simplifying
7x + -49 = 5x + -13

Reorder the terms:
-49 + 7x = 5x + -13

Reorder the terms:
-49 + 7x = -13 + 5x

Solving
-49 + 7x = -13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-49 + 7x + -5x = -13 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-49 + 2x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-49 + 2x = -13 + 0
-49 + 2x = -13

Add '49' to each side of the equation.
-49 + 49 + 2x = -13 + 49

Combine like terms: -49 + 49 = 0
0 + 2x = -13 + 49
2x = -13 + 49

Combine like terms: -13 + 49 = 36
2x = 36

Divide each side by '2'.
x = 18

Simplifying
x = 18

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