3(x+2)=-8(-3x-8)

Solution for 3(x+2)=-8(-3x-8) equation:

Simplifying
3(x + 2) = -8(-3x + -8)

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

Reorder the terms:
6 + 3x = -8(-8 + -3x)
6 + 3x = (-8 * -8 + -3x * -8)
6 + 3x = (64 + 24x)

Solving
6 + 3x = 64 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
6 + 3x + -24x = 64 + 24x + -24x

Combine like terms: 3x + -24x = -21x
6 + -21x = 64 + 24x + -24x

Combine like terms: 24x + -24x = 0
6 + -21x = 64 + 0
6 + -21x = 64

Add '-6' to each side of the equation.
6 + -6 + -21x = 64 + -6

Combine like terms: 6 + -6 = 0
0 + -21x = 64 + -6
-21x = 64 + -6

Combine like terms: 64 + -6 = 58
-21x = 58

Divide each side by '-21'.
x = -2.761904762

Simplifying
x = -2.761904762