3x+5=12x-30

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Solution for 3x+5=12x-30 equation:


Simplifying
3x + 5 = 12x + -30

Reorder the terms:
5 + 3x = 12x + -30

Reorder the terms:
5 + 3x = -30 + 12x

Solving
5 + 3x = -30 + 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.
5 + 3x + -12x = -30 + 12x + -12x

Combine like terms: 3x + -12x = -9x
5 + -9x = -30 + 12x + -12x

Combine like terms: 12x + -12x = 0
5 + -9x = -30 + 0
5 + -9x = -30

Add '-5' to each side of the equation.
5 + -5 + -9x = -30 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = -30 + -5
-9x = -30 + -5

Combine like terms: -30 + -5 = -35
-9x = -35

Divide each side by '-9'.
x = 3.888888889

Simplifying
x = 3.888888889

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