3x-7=12x-100

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Solution for 3x-7=12x-100 equation:


Simplifying
3x + -7 = 12x + -100

Reorder the terms:
-7 + 3x = 12x + -100

Reorder the terms:
-7 + 3x = -100 + 12x

Solving
-7 + 3x = -100 + 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 = -100 + 12x + -12x

Combine like terms: 3x + -12x = -9x
-7 + -9x = -100 + 12x + -12x

Combine like terms: 12x + -12x = 0
-7 + -9x = -100 + 0
-7 + -9x = -100

Add '7' to each side of the equation.
-7 + 7 + -9x = -100 + 7

Combine like terms: -7 + 7 = 0
0 + -9x = -100 + 7
-9x = -100 + 7

Combine like terms: -100 + 7 = -93
-9x = -93

Divide each side by '-9'.
x = 10.33333333

Simplifying
x = 10.33333333

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