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

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

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

Reorder the terms:
3(-2 + x) = -4(3 + -1x)
(-2 * 3 + x * 3) = -4(3 + -1x)
(-6 + 3x) = -4(3 + -1x)
-6 + 3x = (3 * -4 + -1x * -4)
-6 + 3x = (-12 + 4x)

Solving
-6 + 3x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 3x + -4x = -12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-6 + -1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -1x = -12 + 0
-6 + -1x = -12

Add '6' to each side of the equation.
-6 + 6 + -1x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -12 + 6
-1x = -12 + 6

Combine like terms: -12 + 6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6