20x-52=13x-10

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Solution for 20x-52=13x-10 equation:


Simplifying
20x + -52 = 13x + -10

Reorder the terms:
-52 + 20x = 13x + -10

Reorder the terms:
-52 + 20x = -10 + 13x

Solving
-52 + 20x = -10 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-52 + 20x + -13x = -10 + 13x + -13x

Combine like terms: 20x + -13x = 7x
-52 + 7x = -10 + 13x + -13x

Combine like terms: 13x + -13x = 0
-52 + 7x = -10 + 0
-52 + 7x = -10

Add '52' to each side of the equation.
-52 + 52 + 7x = -10 + 52

Combine like terms: -52 + 52 = 0
0 + 7x = -10 + 52
7x = -10 + 52

Combine like terms: -10 + 52 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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