x+6=-(2x-3)

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

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

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

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

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

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

Combine like terms: -2x + 2x = 0
6 + 3x = 3 + 0
6 + 3x = 3

Add '-6' to each side of the equation.
6 + -6 + 3x = 3 + -6

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

Combine like terms: 3 + -6 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1