12x-33=10x-20

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Solution for 12x-33=10x-20 equation:


Simplifying
12x + -33 = 10x + -20

Reorder the terms:
-33 + 12x = 10x + -20

Reorder the terms:
-33 + 12x = -20 + 10x

Solving
-33 + 12x = -20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-33 + 12x + -10x = -20 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-33 + 2x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
-33 + 2x = -20 + 0
-33 + 2x = -20

Add '33' to each side of the equation.
-33 + 33 + 2x = -20 + 33

Combine like terms: -33 + 33 = 0
0 + 2x = -20 + 33
2x = -20 + 33

Combine like terms: -20 + 33 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5

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