3(x+1)-2(x+2)=1-(x+4)

Solution for 3(x+1)-2(x+2)=1-(x+4) equation:

Simplifying
3(x + 1) + -2(x + 2) = 1 + -1(x + 4)

Reorder the terms:
3(1 + x) + -2(x + 2) = 1 + -1(x + 4)
(1 * 3 + x * 3) + -2(x + 2) = 1 + -1(x + 4)
(3 + 3x) + -2(x + 2) = 1 + -1(x + 4)

Reorder the terms:
3 + 3x + -2(2 + x) = 1 + -1(x + 4)
3 + 3x + (2 * -2 + x * -2) = 1 + -1(x + 4)
3 + 3x + (-4 + -2x) = 1 + -1(x + 4)

Reorder the terms:
3 + -4 + 3x + -2x = 1 + -1(x + 4)

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

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

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

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

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

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

Combine like terms: -1x + x = 0
-1 + 2x = -3 + 0
-1 + 2x = -3

Add '1' to each side of the equation.
-1 + 1 + 2x = -3 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = -3 + 1
2x = -3 + 1

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

Divide each side by '2'.
x = -1

Simplifying
x = -1