3x-2=12x-32

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Solution for 3x-2=12x-32 equation:


Simplifying
3x + -2 = 12x + -32

Reorder the terms:
-2 + 3x = 12x + -32

Reorder the terms:
-2 + 3x = -32 + 12x

Solving
-2 + 3x = -32 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-2 + 3x + -12x = -32 + 12x + -12x

Combine like terms: 3x + -12x = -9x
-2 + -9x = -32 + 12x + -12x

Combine like terms: 12x + -12x = 0
-2 + -9x = -32 + 0
-2 + -9x = -32

Add '2' to each side of the equation.
-2 + 2 + -9x = -32 + 2

Combine like terms: -2 + 2 = 0
0 + -9x = -32 + 2
-9x = -32 + 2

Combine like terms: -32 + 2 = -30
-9x = -30

Divide each side by '-9'.
x = 3.333333333

Simplifying
x = 3.333333333

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