2(v+5)=-2v+42

Solution for 2(v+5)=-2v+42 equation:

Simplifying
2(v + 5) = -2v + 42

Reorder the terms:
2(5 + v) = -2v + 42
(5 * 2 + v * 2) = -2v + 42
(10 + 2v) = -2v + 42

Reorder the terms:
10 + 2v = 42 + -2v

Solving
10 + 2v = 42 + -2v

Solving for variable 'v'.

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

Add '2v' to each side of the equation.
10 + 2v + 2v = 42 + -2v + 2v

Combine like terms: 2v + 2v = 4v
10 + 4v = 42 + -2v + 2v

Combine like terms: -2v + 2v = 0
10 + 4v = 42 + 0
10 + 4v = 42

Add '-10' to each side of the equation.
10 + -10 + 4v = 42 + -10

Combine like terms: 10 + -10 = 0
0 + 4v = 42 + -10
4v = 42 + -10

Combine like terms: 42 + -10 = 32
4v = 32

Divide each side by '4'.
v = 8

Simplifying
v = 8