6x-8=11x-33

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Solution for 6x-8=11x-33 equation:


Simplifying
6x + -8 = 11x + -33

Reorder the terms:
-8 + 6x = 11x + -33

Reorder the terms:
-8 + 6x = -33 + 11x

Solving
-8 + 6x = -33 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-8 + 6x + -11x = -33 + 11x + -11x

Combine like terms: 6x + -11x = -5x
-8 + -5x = -33 + 11x + -11x

Combine like terms: 11x + -11x = 0
-8 + -5x = -33 + 0
-8 + -5x = -33

Add '8' to each side of the equation.
-8 + 8 + -5x = -33 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = -33 + 8
-5x = -33 + 8

Combine like terms: -33 + 8 = -25
-5x = -25

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

Simplifying
x = 5

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