8x+33=3x-2

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Solution for 8x+33=3x-2 equation:


Simplifying
8x + 33 = 3x + -2

Reorder the terms:
33 + 8x = 3x + -2

Reorder the terms:
33 + 8x = -2 + 3x

Solving
33 + 8x = -2 + 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 + 8x + -3x = -2 + 3x + -3x

Combine like terms: 8x + -3x = 5x
33 + 5x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
33 + 5x = -2 + 0
33 + 5x = -2

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

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

Combine like terms: -2 + -33 = -35
5x = -35

Divide each side by '5'.
x = -7

Simplifying
x = -7

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