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

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

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

Reorder the terms:
4(-3 + x) + -2(x + 6) = 3(x + -2)
(-3 * 4 + x * 4) + -2(x + 6) = 3(x + -2)
(-12 + 4x) + -2(x + 6) = 3(x + -2)

Reorder the terms:
-12 + 4x + -2(6 + x) = 3(x + -2)
-12 + 4x + (6 * -2 + x * -2) = 3(x + -2)
-12 + 4x + (-12 + -2x) = 3(x + -2)

Reorder the terms:
-12 + -12 + 4x + -2x = 3(x + -2)

Combine like terms: -12 + -12 = -24
-24 + 4x + -2x = 3(x + -2)

Combine like terms: 4x + -2x = 2x
-24 + 2x = 3(x + -2)

Reorder the terms:
-24 + 2x = 3(-2 + x)
-24 + 2x = (-2 * 3 + x * 3)
-24 + 2x = (-6 + 3x)

Solving
-24 + 2x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-24 + 2x + -3x = -6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-24 + -1x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + -1x = -6 + 0
-24 + -1x = -6

Add '24' to each side of the equation.
-24 + 24 + -1x = -6 + 24

Combine like terms: -24 + 24 = 0
0 + -1x = -6 + 24
-1x = -6 + 24

Combine like terms: -6 + 24 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18