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

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

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

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

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

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

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

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

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

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

Solving
-2 + 1x = 3

Solving for variable 'x'.

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

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

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

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

Divide each side by '1'.
x = 5

Simplifying
x = 5