10x-33=2x-2

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Solution for 10x-33=2x-2 equation:


Simplifying
10x + -33 = 2x + -2

Reorder the terms:
-33 + 10x = 2x + -2

Reorder the terms:
-33 + 10x = -2 + 2x

Solving
-33 + 10x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-33 + 10x + -2x = -2 + 2x + -2x

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

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

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

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

Combine like terms: -2 + 33 = 31
8x = 31

Divide each side by '8'.
x = 3.875

Simplifying
x = 3.875

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