-2(x-3)=7-(x+2)

Solution for -2(x-3)=7-(x+2) equation:

Simplifying
-2(x + -3) = 7 + -1(x + 2)

Reorder the terms:
-2(-3 + x) = 7 + -1(x + 2)
(-3 * -2 + x * -2) = 7 + -1(x + 2)
(6 + -2x) = 7 + -1(x + 2)

Reorder the terms:
6 + -2x = 7 + -1(2 + x)
6 + -2x = 7 + (2 * -1 + x * -1)
6 + -2x = 7 + (-2 + -1x)

Combine like terms: 7 + -2 = 5
6 + -2x = 5 + -1x

Solving
6 + -2x = 5 + -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 = 5 + -1x + x

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

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

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

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

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

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

Simplifying
x = 1