2x+33=7x-7

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Solution for 2x+33=7x-7 equation:


Simplifying
2x + 33 = 7x + -7

Reorder the terms:
33 + 2x = 7x + -7

Reorder the terms:
33 + 2x = -7 + 7x

Solving
33 + 2x = -7 + 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 + 2x + -7x = -7 + 7x + -7x

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

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

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

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

Combine like terms: -7 + -33 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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