2+3(x-1)=5-(x+2)

Solution for 2+3(x-1)=5-(x+2) equation:

Simplifying
2 + 3(x + -1) = 5 + -1(x + 2)

Reorder the terms:
2 + 3(-1 + x) = 5 + -1(x + 2)
2 + (-1 * 3 + x * 3) = 5 + -1(x + 2)
2 + (-3 + 3x) = 5 + -1(x + 2)

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

Reorder the terms:
-1 + 3x = 5 + -1(2 + x)
-1 + 3x = 5 + (2 * -1 + x * -1)
-1 + 3x = 5 + (-2 + -1x)

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

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

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

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

Add '1' to each side of the equation.
-1 + 1 + 4x = 3 + 1

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

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

Divide each side by '4'.
x = 1

Simplifying
x = 1