3x-12=11x-42

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Solution for 3x-12=11x-42 equation:


Simplifying
3x + -12 = 11x + -42

Reorder the terms:
-12 + 3x = 11x + -42

Reorder the terms:
-12 + 3x = -42 + 11x

Solving
-12 + 3x = -42 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-12 + 3x + -11x = -42 + 11x + -11x

Combine like terms: 3x + -11x = -8x
-12 + -8x = -42 + 11x + -11x

Combine like terms: 11x + -11x = 0
-12 + -8x = -42 + 0
-12 + -8x = -42

Add '12' to each side of the equation.
-12 + 12 + -8x = -42 + 12

Combine like terms: -12 + 12 = 0
0 + -8x = -42 + 12
-8x = -42 + 12

Combine like terms: -42 + 12 = -30
-8x = -30

Divide each side by '-8'.
x = 3.75

Simplifying
x = 3.75

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