10-(x+7)+2x=5

Solution for 10-(x+7)+2x=5 equation:

Simplifying
10 + -1(x + 7) + 2x = 5

Reorder the terms:
10 + -1(7 + x) + 2x = 5
10 + (7 * -1 + x * -1) + 2x = 5
10 + (-7 + -1x) + 2x = 5

Combine like terms: 10 + -7 = 3
3 + -1x + 2x = 5

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

Solving
3 + 1x = 5

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 1x = 5 + -3

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

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

Divide each side by '1'.
x = 2

Simplifying
x = 2