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

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

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

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

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

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

Solving
6 + 3x = 4 + -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 + 3x + x = 4 + -1x + x

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

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

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

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

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

Divide each side by '4'.
x = -0.5

Simplifying
x = -0.5