3x-8=x-33

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


Simplifying
3x + -8 = x + -33

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

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

Solving
-8 + 3x = -33 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 3x + -1x = -33 + x + -1x

Combine like terms: 3x + -1x = 2x
-8 + 2x = -33 + x + -1x

Combine like terms: x + -1x = 0
-8 + 2x = -33 + 0
-8 + 2x = -33

Add '8' to each side of the equation.
-8 + 8 + 2x = -33 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = -33 + 8
2x = -33 + 8

Combine like terms: -33 + 8 = -25
2x = -25

Divide each side by '2'.
x = -12.5

Simplifying
x = -12.5

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