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

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

Simplifying
2(x + 3) = 5 + -1(x + -4)

Reorder the terms:
2(3 + x) = 5 + -1(x + -4)
(3 * 2 + x * 2) = 5 + -1(x + -4)
(6 + 2x) = 5 + -1(x + -4)

Reorder the terms:
6 + 2x = 5 + -1(-4 + x)
6 + 2x = 5 + (-4 * -1 + x * -1)
6 + 2x = 5 + (4 + -1x)

Combine like terms: 5 + 4 = 9
6 + 2x = 9 + -1x

Solving
6 + 2x = 9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 2x + x = 9 + -1x + x

Combine like terms: 2x + x = 3x
6 + 3x = 9 + -1x + x

Combine like terms: -1x + x = 0
6 + 3x = 9 + 0
6 + 3x = 9

Add '-6' to each side of the equation.
6 + -6 + 3x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 9 + -6
3x = 9 + -6

Combine like terms: 9 + -6 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1