9x-13=5x+57

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Solution for 9x-13=5x+57 equation:


Simplifying
9x + -13 = 5x + 57

Reorder the terms:
-13 + 9x = 5x + 57

Reorder the terms:
-13 + 9x = 57 + 5x

Solving
-13 + 9x = 57 + 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.
-13 + 9x + -5x = 57 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-13 + 4x = 57 + 5x + -5x

Combine like terms: 5x + -5x = 0
-13 + 4x = 57 + 0
-13 + 4x = 57

Add '13' to each side of the equation.
-13 + 13 + 4x = 57 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = 57 + 13
4x = 57 + 13

Combine like terms: 57 + 13 = 70
4x = 70

Divide each side by '4'.
x = 17.5

Simplifying
x = 17.5

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