-3(x-2)=6(4x+1)

Solution for -3(x-2)=6(4x+1) equation:

Simplifying
-3(x + -2) = 6(4x + 1)

Reorder the terms:
-3(-2 + x) = 6(4x + 1)
(-2 * -3 + x * -3) = 6(4x + 1)
(6 + -3x) = 6(4x + 1)

Reorder the terms:
6 + -3x = 6(1 + 4x)
6 + -3x = (1 * 6 + 4x * 6)
6 + -3x = (6 + 24x)

Add '-6' to each side of the equation.
6 + -6 + -3x = 6 + -6 + 24x

Combine like terms: 6 + -6 = 0
0 + -3x = 6 + -6 + 24x
-3x = 6 + -6 + 24x

Combine like terms: 6 + -6 = 0
-3x = 0 + 24x
-3x = 24x

Solving
-3x = 24x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24x' to each side of the equation.
-3x + -24x = 24x + -24x

Combine like terms: -3x + -24x = -27x
-27x = 24x + -24x

Combine like terms: 24x + -24x = 0
-27x = 0

Divide each side by '-27'.
x = 0

Simplifying
x = 0