5(1-x)+2(3x-4)=-3(x+2)

Solution for 5(1-x)+2(3x-4)=-3(x+2) equation:

Simplifying
5(1 + -1x) + 2(3x + -4) = -3(x + 2)
(1 * 5 + -1x * 5) + 2(3x + -4) = -3(x + 2)
(5 + -5x) + 2(3x + -4) = -3(x + 2)

Reorder the terms:
5 + -5x + 2(-4 + 3x) = -3(x + 2)
5 + -5x + (-4 * 2 + 3x * 2) = -3(x + 2)
5 + -5x + (-8 + 6x) = -3(x + 2)

Reorder the terms:
5 + -8 + -5x + 6x = -3(x + 2)

Combine like terms: 5 + -8 = -3
-3 + -5x + 6x = -3(x + 2)

Combine like terms: -5x + 6x = 1x
-3 + 1x = -3(x + 2)

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

Solving
-3 + 1x = -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.
-3 + 1x + 3x = -6 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-3 + 4x = -6 + 0
-3 + 4x = -6

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

Combine like terms: -3 + 3 = 0
0 + 4x = -6 + 3
4x = -6 + 3

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

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75