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

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

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

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

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

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

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

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

Solving
2 + 3x = 6 + -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.
2 + 3x + x = 6 + -1x + x

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

Combine like terms: -1x + x = 0
2 + 4x = 6 + 0
2 + 4x = 6

Add '-2' to each side of the equation.
2 + -2 + 4x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 6 + -2
4x = 6 + -2

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

Divide each side by '4'.
x = 1

Simplifying
x = 1