5x-33=3x-7

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Solution for 5x-33=3x-7 equation:


Simplifying
5x + -33 = 3x + -7

Reorder the terms:
-33 + 5x = 3x + -7

Reorder the terms:
-33 + 5x = -7 + 3x

Solving
-33 + 5x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-33 + 5x + -3x = -7 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-33 + 2x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-33 + 2x = -7 + 0
-33 + 2x = -7

Add '33' to each side of the equation.
-33 + 33 + 2x = -7 + 33

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

Combine like terms: -7 + 33 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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