4x+33=13x-57

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Solution for 4x+33=13x-57 equation:


Simplifying
4x + 33 = 13x + -57

Reorder the terms:
33 + 4x = 13x + -57

Reorder the terms:
33 + 4x = -57 + 13x

Solving
33 + 4x = -57 + 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.
33 + 4x + -13x = -57 + 13x + -13x

Combine like terms: 4x + -13x = -9x
33 + -9x = -57 + 13x + -13x

Combine like terms: 13x + -13x = 0
33 + -9x = -57 + 0
33 + -9x = -57

Add '-33' to each side of the equation.
33 + -33 + -9x = -57 + -33

Combine like terms: 33 + -33 = 0
0 + -9x = -57 + -33
-9x = -57 + -33

Combine like terms: -57 + -33 = -90
-9x = -90

Divide each side by '-9'.
x = 10

Simplifying
x = 10

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