5x+33=7x+13

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Solution for 5x+33=7x+13 equation:


Simplifying
5x + 33 = 7x + 13

Reorder the terms:
33 + 5x = 7x + 13

Reorder the terms:
33 + 5x = 13 + 7x

Solving
33 + 5x = 13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
33 + 5x + -7x = 13 + 7x + -7x

Combine like terms: 5x + -7x = -2x
33 + -2x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
33 + -2x = 13 + 0
33 + -2x = 13

Add '-33' to each side of the equation.
33 + -33 + -2x = 13 + -33

Combine like terms: 33 + -33 = 0
0 + -2x = 13 + -33
-2x = 13 + -33

Combine like terms: 13 + -33 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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