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

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

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

Reorder the terms:
2(4 + 2x) + 3 = 2x + -6 + -3(x + 1)
(4 * 2 + 2x * 2) + 3 = 2x + -6 + -3(x + 1)
(8 + 4x) + 3 = 2x + -6 + -3(x + 1)

Reorder the terms:
8 + 3 + 4x = 2x + -6 + -3(x + 1)

Combine like terms: 8 + 3 = 11
11 + 4x = 2x + -6 + -3(x + 1)

Reorder the terms:
11 + 4x = 2x + -6 + -3(1 + x)
11 + 4x = 2x + -6 + (1 * -3 + x * -3)
11 + 4x = 2x + -6 + (-3 + -3x)

Reorder the terms:
11 + 4x = -6 + -3 + 2x + -3x

Combine like terms: -6 + -3 = -9
11 + 4x = -9 + 2x + -3x

Combine like terms: 2x + -3x = -1x
11 + 4x = -9 + -1x

Solving
11 + 4x = -9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
11 + 4x + x = -9 + -1x + x

Combine like terms: 4x + x = 5x
11 + 5x = -9 + -1x + x

Combine like terms: -1x + x = 0
11 + 5x = -9 + 0
11 + 5x = -9

Add '-11' to each side of the equation.
11 + -11 + 5x = -9 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = -9 + -11
5x = -9 + -11

Combine like terms: -9 + -11 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4