2(3-x)=10-(x+1)

Solution for 2(3-x)=10-(x+1) equation:

Simplifying
2(3 + -1x) = 10 + -1(x + 1)
(3 * 2 + -1x * 2) = 10 + -1(x + 1)
(6 + -2x) = 10 + -1(x + 1)

Reorder the terms:
6 + -2x = 10 + -1(1 + x)
6 + -2x = 10 + (1 * -1 + x * -1)
6 + -2x = 10 + (-1 + -1x)

Combine like terms: 10 + -1 = 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 = -1x
6 + -1x = 9 + -1x + x

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

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

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

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

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

Simplifying
x = -3