3(x-2)=12(x+1)

Solution for 3(x-2)=12(x+1) equation:

Simplifying
3(x + -2) = 12(x + 1)

Reorder the terms:
3(-2 + x) = 12(x + 1)
(-2 * 3 + x * 3) = 12(x + 1)
(-6 + 3x) = 12(x + 1)

Reorder the terms:
-6 + 3x = 12(1 + x)
-6 + 3x = (1 * 12 + x * 12)
-6 + 3x = (12 + 12x)

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

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

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

Add '6' to each side of the equation.
-6 + 6 + -9x = 12 + 6

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

Combine like terms: 12 + 6 = 18
-9x = 18

Divide each side by '-9'.
x = -2

Simplifying
x = -2