3(x+2)=12(x-7)

Solution for 3(x+2)=12(x-7) equation:

Simplifying
3(x + 2) = 12(x + -7)

Reorder the terms:
3(2 + x) = 12(x + -7)
(2 * 3 + x * 3) = 12(x + -7)
(6 + 3x) = 12(x + -7)

Reorder the terms:
6 + 3x = 12(-7 + x)
6 + 3x = (-7 * 12 + x * 12)
6 + 3x = (-84 + 12x)

Solving
6 + 3x = -84 + 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.
6 + 3x + -12x = -84 + 12x + -12x

Combine like terms: 3x + -12x = -9x
6 + -9x = -84 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -9x = -84 + 0
6 + -9x = -84

Add '-6' to each side of the equation.
6 + -6 + -9x = -84 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = -84 + -6
-9x = -84 + -6

Combine like terms: -84 + -6 = -90
-9x = -90

Divide each side by '-9'.
x = 10

Simplifying
x = 10