10x-33=3x-12

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Solution for 10x-33=3x-12 equation:


Simplifying
10x + -33 = 3x + -12

Reorder the terms:
-33 + 10x = 3x + -12

Reorder the terms:
-33 + 10x = -12 + 3x

Solving
-33 + 10x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-33 + 10x + -3x = -12 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-33 + 7x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-33 + 7x = -12 + 0
-33 + 7x = -12

Add '33' to each side of the equation.
-33 + 33 + 7x = -12 + 33

Combine like terms: -33 + 33 = 0
0 + 7x = -12 + 33
7x = -12 + 33

Combine like terms: -12 + 33 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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