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

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

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

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

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

Combine like terms: -6 + 4 = -2
-2 + -3x = 5(x + 2) + 6

Reorder the terms:
-2 + -3x = 5(2 + x) + 6
-2 + -3x = (2 * 5 + x * 5) + 6
-2 + -3x = (10 + 5x) + 6

Reorder the terms:
-2 + -3x = 10 + 6 + 5x

Combine like terms: 10 + 6 = 16
-2 + -3x = 16 + 5x

Solving
-2 + -3x = 16 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + -3x + -5x = 16 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-2 + -8x = 16 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -8x = 16 + 0
-2 + -8x = 16

Add '2' to each side of the equation.
-2 + 2 + -8x = 16 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = 16 + 2
-8x = 16 + 2

Combine like terms: 16 + 2 = 18
-8x = 18

Divide each side by '-8'.
x = -2.25

Simplifying
x = -2.25