10x-6=8x-33

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Solution for 10x-6=8x-33 equation:


Simplifying
10x + -6 = 8x + -33

Reorder the terms:
-6 + 10x = 8x + -33

Reorder the terms:
-6 + 10x = -33 + 8x

Solving
-6 + 10x = -33 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + 10x + -8x = -33 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-6 + 2x = -33 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + 2x = -33 + 0
-6 + 2x = -33

Add '6' to each side of the equation.
-6 + 6 + 2x = -33 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = -33 + 6
2x = -33 + 6

Combine like terms: -33 + 6 = -27
2x = -27

Divide each side by '2'.
x = -13.5

Simplifying
x = -13.5

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