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

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

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

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

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

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

Solving
2 + 2x = -3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
2 + 2x + 2x = -3 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
2 + 4x = -3 + 0
2 + 4x = -3

Add '-2' to each side of the equation.
2 + -2 + 4x = -3 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -3 + -2
4x = -3 + -2

Combine like terms: -3 + -2 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25