3x+18=11x-78

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Solution for 3x+18=11x-78 equation:


Simplifying
3x + 18 = 11x + -78

Reorder the terms:
18 + 3x = 11x + -78

Reorder the terms:
18 + 3x = -78 + 11x

Solving
18 + 3x = -78 + 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.
18 + 3x + -11x = -78 + 11x + -11x

Combine like terms: 3x + -11x = -8x
18 + -8x = -78 + 11x + -11x

Combine like terms: 11x + -11x = 0
18 + -8x = -78 + 0
18 + -8x = -78

Add '-18' to each side of the equation.
18 + -18 + -8x = -78 + -18

Combine like terms: 18 + -18 = 0
0 + -8x = -78 + -18
-8x = -78 + -18

Combine like terms: -78 + -18 = -96
-8x = -96

Divide each side by '-8'.
x = 12

Simplifying
x = 12

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