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

Solution for 3(x+1)+(3-x)=7-3(1-x) equation:

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

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

Remove parenthesis around (3 + -1x)
3 + 3x + 3 + -1x = 7 + -3(1 + -1x)

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

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

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

Combine like terms: 7 + -3 = 4
6 + 2x = 4 + 3x

Solving
6 + 2x = 4 + 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 = 4 + 3x + -3x

Combine like terms: 2x + -3x = -1x
6 + -1x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -1x = 4 + 0
6 + -1x = 4

Add '-6' to each side of the equation.
6 + -6 + -1x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 4 + -6
-1x = 4 + -6

Combine like terms: 4 + -6 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2