x+33=x*5+13

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Solution for x+33=x*5+13 equation:


Simplifying
x + 33 = x * 5 + 13

Reorder the terms:
33 + x = x * 5 + 13

Reorder the terms for easier multiplication:
33 + x = 5x + 13

Reorder the terms:
33 + x = 13 + 5x

Solving
33 + x = 13 + 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.
33 + x + -5x = 13 + 5x + -5x

Combine like terms: x + -5x = -4x
33 + -4x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
33 + -4x = 13 + 0
33 + -4x = 13

Add '-33' to each side of the equation.
33 + -33 + -4x = 13 + -33

Combine like terms: 33 + -33 = 0
0 + -4x = 13 + -33
-4x = 13 + -33

Combine like terms: 13 + -33 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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