3x+30=11x-42

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Solution for 3x+30=11x-42 equation:


Simplifying
3x + 30 = 11x + -42

Reorder the terms:
30 + 3x = 11x + -42

Reorder the terms:
30 + 3x = -42 + 11x

Solving
30 + 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.
30 + 3x + -11x = -42 + 11x + -11x

Combine like terms: 3x + -11x = -8x
30 + -8x = -42 + 11x + -11x

Combine like terms: 11x + -11x = 0
30 + -8x = -42 + 0
30 + -8x = -42

Add '-30' to each side of the equation.
30 + -30 + -8x = -42 + -30

Combine like terms: 30 + -30 = 0
0 + -8x = -42 + -30
-8x = -42 + -30

Combine like terms: -42 + -30 = -72
-8x = -72

Divide each side by '-8'.
x = 9

Simplifying
x = 9

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