2(x+3)-x+4=2(x-1)+5

Solution for 2(x+3)-x+4=2(x-1)+5 equation:

Simplifying
2(x + 3) + -1x + 4 = 2(x + -1) + 5

Reorder the terms:
2(3 + x) + -1x + 4 = 2(x + -1) + 5
(3 * 2 + x * 2) + -1x + 4 = 2(x + -1) + 5
(6 + 2x) + -1x + 4 = 2(x + -1) + 5

Reorder the terms:
6 + 4 + 2x + -1x = 2(x + -1) + 5

Combine like terms: 6 + 4 = 10
10 + 2x + -1x = 2(x + -1) + 5

Combine like terms: 2x + -1x = 1x
10 + 1x = 2(x + -1) + 5

Reorder the terms:
10 + 1x = 2(-1 + x) + 5
10 + 1x = (-1 * 2 + x * 2) + 5
10 + 1x = (-2 + 2x) + 5

Reorder the terms:
10 + 1x = -2 + 5 + 2x

Combine like terms: -2 + 5 = 3
10 + 1x = 3 + 2x

Solving
10 + 1x = 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.
10 + 1x + -2x = 3 + 2x + -2x

Combine like terms: 1x + -2x = -1x
10 + -1x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -1x = 3 + 0
10 + -1x = 3

Add '-10' to each side of the equation.
10 + -10 + -1x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 3 + -10
-1x = 3 + -10

Combine like terms: 3 + -10 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7