3(-2x-4)+6=5-2(x+1)

Solution for 3(-2x-4)+6=5-2(x+1) equation:

Simplifying
3(-2x + -4) + 6 = 5 + -2(x + 1)

Reorder the terms:
3(-4 + -2x) + 6 = 5 + -2(x + 1)
(-4 * 3 + -2x * 3) + 6 = 5 + -2(x + 1)
(-12 + -6x) + 6 = 5 + -2(x + 1)

Reorder the terms:
-12 + 6 + -6x = 5 + -2(x + 1)

Combine like terms: -12 + 6 = -6
-6 + -6x = 5 + -2(x + 1)

Reorder the terms:
-6 + -6x = 5 + -2(1 + x)
-6 + -6x = 5 + (1 * -2 + x * -2)
-6 + -6x = 5 + (-2 + -2x)

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

Solving
-6 + -6x = 3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + -6x + 2x = 3 + -2x + 2x

Combine like terms: -6x + 2x = -4x
-6 + -4x = 3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + -4x = 3 + 0
-6 + -4x = 3

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

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

Combine like terms: 3 + 6 = 9
-4x = 9

Divide each side by '-4'.
x = -2.25

Simplifying
x = -2.25