3x+7=12x-4

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Solution for 3x+7=12x-4 equation:


Simplifying
3x + 7 = 12x + -4

Reorder the terms:
7 + 3x = 12x + -4

Reorder the terms:
7 + 3x = -4 + 12x

Solving
7 + 3x = -4 + 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.
7 + 3x + -12x = -4 + 12x + -12x

Combine like terms: 3x + -12x = -9x
7 + -9x = -4 + 12x + -12x

Combine like terms: 12x + -12x = 0
7 + -9x = -4 + 0
7 + -9x = -4

Add '-7' to each side of the equation.
7 + -7 + -9x = -4 + -7

Combine like terms: 7 + -7 = 0
0 + -9x = -4 + -7
-9x = -4 + -7

Combine like terms: -4 + -7 = -11
-9x = -11

Divide each side by '-9'.
x = 1.222222222

Simplifying
x = 1.222222222

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