3(x+1)=4-(x+3)

Solution for 3(x+1)=4-(x+3) equation:

Simplifying
3(x + 1) = 4 + -1(x + 3)

Reorder the terms:
3(1 + x) = 4 + -1(x + 3)
(1 * 3 + x * 3) = 4 + -1(x + 3)
(3 + 3x) = 4 + -1(x + 3)

Reorder the terms:
3 + 3x = 4 + -1(3 + x)
3 + 3x = 4 + (3 * -1 + x * -1)
3 + 3x = 4 + (-3 + -1x)

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

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

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

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

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

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

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

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

Simplifying
x = -0.5