5x-52=2x-10

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Solution for 5x-52=2x-10 equation:


Simplifying
5x + -52 = 2x + -10

Reorder the terms:
-52 + 5x = 2x + -10

Reorder the terms:
-52 + 5x = -10 + 2x

Solving
-52 + 5x = -10 + 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.
-52 + 5x + -2x = -10 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-52 + 3x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-52 + 3x = -10 + 0
-52 + 3x = -10

Add '52' to each side of the equation.
-52 + 52 + 3x = -10 + 52

Combine like terms: -52 + 52 = 0
0 + 3x = -10 + 52
3x = -10 + 52

Combine like terms: -10 + 52 = 42
3x = 42

Divide each side by '3'.
x = 14

Simplifying
x = 14

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