5x-45=7x+33

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Solution for 5x-45=7x+33 equation:


Simplifying
5x + -45 = 7x + 33

Reorder the terms:
-45 + 5x = 7x + 33

Reorder the terms:
-45 + 5x = 33 + 7x

Solving
-45 + 5x = 33 + 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.
-45 + 5x + -7x = 33 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-45 + -2x = 33 + 7x + -7x

Combine like terms: 7x + -7x = 0
-45 + -2x = 33 + 0
-45 + -2x = 33

Add '45' to each side of the equation.
-45 + 45 + -2x = 33 + 45

Combine like terms: -45 + 45 = 0
0 + -2x = 33 + 45
-2x = 33 + 45

Combine like terms: 33 + 45 = 78
-2x = 78

Divide each side by '-2'.
x = -39

Simplifying
x = -39

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