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

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

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

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

Combine like terms: 5x + 3x = 8x
6 + 8x = 5 + -2(x + 2)

Reorder the terms:
6 + 8x = 5 + -2(2 + x)
6 + 8x = 5 + (2 * -2 + x * -2)
6 + 8x = 5 + (-4 + -2x)

Combine like terms: 5 + -4 = 1
6 + 8x = 1 + -2x

Solving
6 + 8x = 1 + -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 + 8x + 2x = 1 + -2x + 2x

Combine like terms: 8x + 2x = 10x
6 + 10x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 10x = 1 + 0
6 + 10x = 1

Add '-6' to each side of the equation.
6 + -6 + 10x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = 1 + -6
10x = 1 + -6

Combine like terms: 1 + -6 = -5
10x = -5

Divide each side by '10'.
x = -0.5

Simplifying
x = -0.5