3x+6=2+1(x-1)+3+3

Solution for 3x+6=2+1(x-1)+3+3 equation:

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

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

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

Reorder the terms:
6 + 3x = 2 + -1 + 3 + 3 + 1x

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

Combine like terms: 1 + 3 = 4
6 + 3x = 4 + 3 + 1x

Combine like terms: 4 + 3 = 7
6 + 3x = 7 + 1x

Solving
6 + 3x = 7 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 3x + -1x = 7 + 1x + -1x

Combine like terms: 3x + -1x = 2x
6 + 2x = 7 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + 2x = 7 + 0
6 + 2x = 7

Add '-6' to each side of the equation.
6 + -6 + 2x = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 7 + -6
2x = 7 + -6

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

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5