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

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

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

Reorder the terms:
6 + -2x = -4(-4 + x)
6 + -2x = (-4 * -4 + x * -4)
6 + -2x = (16 + -4x)

Solving
6 + -2x = 16 + -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 + -2x + 4x = 16 + -4x + 4x

Combine like terms: -2x + 4x = 2x
6 + 2x = 16 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 2x = 16 + 0
6 + 2x = 16

Add '-6' to each side of the equation.
6 + -6 + 2x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 16 + -6
2x = 16 + -6

Combine like terms: 16 + -6 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5