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

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

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

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

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

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

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

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

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

Solving
4 = -3 + x

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: -3 + -4 = -7
-1x = -7

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

Simplifying
x = 7