5x+33=-2x+5

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Solution for 5x+33=-2x+5 equation:


Simplifying
5x + 33 = -2x + 5

Reorder the terms:
33 + 5x = -2x + 5

Reorder the terms:
33 + 5x = 5 + -2x

Solving
33 + 5x = 5 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
33 + 5x + 2x = 5 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
33 + 7x = 5 + 0
33 + 7x = 5

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

Combine like terms: 33 + -33 = 0
0 + 7x = 5 + -33
7x = 5 + -33

Combine like terms: 5 + -33 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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