3x+30=12x+78

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Solution for 3x+30=12x+78 equation:


Simplifying
3x + 30 = 12x + 78

Reorder the terms:
30 + 3x = 12x + 78

Reorder the terms:
30 + 3x = 78 + 12x

Solving
30 + 3x = 78 + 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.
30 + 3x + -12x = 78 + 12x + -12x

Combine like terms: 3x + -12x = -9x
30 + -9x = 78 + 12x + -12x

Combine like terms: 12x + -12x = 0
30 + -9x = 78 + 0
30 + -9x = 78

Add '-30' to each side of the equation.
30 + -30 + -9x = 78 + -30

Combine like terms: 30 + -30 = 0
0 + -9x = 78 + -30
-9x = 78 + -30

Combine like terms: 78 + -30 = 48
-9x = 48

Divide each side by '-9'.
x = -5.333333333

Simplifying
x = -5.333333333

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