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

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

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

Reorder the terms:
0 = (5 + x) + -3(x + 2)

Remove parenthesis around (5 + x)
0 = 5 + x + -3(x + 2)

Reorder the terms:
0 = 5 + x + -3(2 + x)
0 = 5 + x + (2 * -3 + x * -3)
0 = 5 + x + (-6 + -3x)

Reorder the terms:
0 = 5 + -6 + x + -3x

Combine like terms: 5 + -6 = -1
0 = -1 + x + -3x

Combine like terms: x + -3x = -2x
0 = -1 + -2x

Solving
0 = -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.
0 + 2x = -1 + -2x + 2x
Remove the zero:
2x = -1 + -2x + 2x

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5