10x-20=13x-53

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Solution for 10x-20=13x-53 equation:


Simplifying
10x + -20 = 13x + -53

Reorder the terms:
-20 + 10x = 13x + -53

Reorder the terms:
-20 + 10x = -53 + 13x

Solving
-20 + 10x = -53 + 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.
-20 + 10x + -13x = -53 + 13x + -13x

Combine like terms: 10x + -13x = -3x
-20 + -3x = -53 + 13x + -13x

Combine like terms: 13x + -13x = 0
-20 + -3x = -53 + 0
-20 + -3x = -53

Add '20' to each side of the equation.
-20 + 20 + -3x = -53 + 20

Combine like terms: -20 + 20 = 0
0 + -3x = -53 + 20
-3x = -53 + 20

Combine like terms: -53 + 20 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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