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

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

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

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

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

Combine like terms: -5 + 6 = 1
6 + 3x = 1 + -2x

Solving
6 + 3x = 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 + 3x + 2x = 1 + -2x + 2x

Combine like terms: 3x + 2x = 5x
6 + 5x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 5x = 1 + 0
6 + 5x = 1

Add '-6' to each side of the equation.
6 + -6 + 5x = 1 + -6

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

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

Divide each side by '5'.
x = -1

Simplifying
x = -1