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

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

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

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

Combine like terms: 3 + -8 = -5
-5 + -2x = -3(4x + -5)

Reorder the terms:
-5 + -2x = -3(-5 + 4x)
-5 + -2x = (-5 * -3 + 4x * -3)
-5 + -2x = (15 + -12x)

Solving
-5 + -2x = 15 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-5 + -2x + 12x = 15 + -12x + 12x

Combine like terms: -2x + 12x = 10x
-5 + 10x = 15 + -12x + 12x

Combine like terms: -12x + 12x = 0
-5 + 10x = 15 + 0
-5 + 10x = 15

Add '5' to each side of the equation.
-5 + 5 + 10x = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 10x = 15 + 5
10x = 15 + 5

Combine like terms: 15 + 5 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2