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

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

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

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

Combine like terms: 5 + 6 = 11
11 + 2x = 2[5 + -4(x + 2)]

Reorder the terms:
11 + 2x = 2[5 + -4(2 + x)]
11 + 2x = 2[5 + (2 * -4 + x * -4)]
11 + 2x = 2[5 + (-8 + -4x)]

Combine like terms: 5 + -8 = -3
11 + 2x = 2[-3 + -4x]
11 + 2x = [-3 * 2 + -4x * 2]
11 + 2x = [-6 + -8x]

Solving
11 + 2x = -6 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
11 + 2x + 8x = -6 + -8x + 8x

Combine like terms: 2x + 8x = 10x
11 + 10x = -6 + -8x + 8x

Combine like terms: -8x + 8x = 0
11 + 10x = -6 + 0
11 + 10x = -6

Add '-11' to each side of the equation.
11 + -11 + 10x = -6 + -11

Combine like terms: 11 + -11 = 0
0 + 10x = -6 + -11
10x = -6 + -11

Combine like terms: -6 + -11 = -17
10x = -17

Divide each side by '10'.
x = -1.7

Simplifying
x = -1.7