2(3-x)=8-3(x+1)

Solution for 2(3-x)=8-3(x+1) equation:

Simplifying
2(3 + -1x) = 8 + -3(x + 1)
(3 * 2 + -1x * 2) = 8 + -3(x + 1)
(6 + -2x) = 8 + -3(x + 1)

Reorder the terms:
6 + -2x = 8 + -3(1 + x)
6 + -2x = 8 + (1 * -3 + x * -3)
6 + -2x = 8 + (-3 + -3x)

Combine like terms: 8 + -3 = 5
6 + -2x = 5 + -3x

Solving
6 + -2x = 5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + -2x + 3x = 5 + -3x + 3x

Combine like terms: -2x + 3x = 1x
6 + 1x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 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