6(v+5)+2(v-2)=10v+4-5

Solution for 6(v+5)+2(v-2)=10v+4-5 equation:

Simplifying
6(v + 5) + 2(v + -2) = 10v + 4 + -5

Reorder the terms:
6(5 + v) + 2(v + -2) = 10v + 4 + -5
(5 * 6 + v * 6) + 2(v + -2) = 10v + 4 + -5
(30 + 6v) + 2(v + -2) = 10v + 4 + -5

Reorder the terms:
30 + 6v + 2(-2 + v) = 10v + 4 + -5
30 + 6v + (-2 * 2 + v * 2) = 10v + 4 + -5
30 + 6v + (-4 + 2v) = 10v + 4 + -5

Reorder the terms:
30 + -4 + 6v + 2v = 10v + 4 + -5

Combine like terms: 30 + -4 = 26
26 + 6v + 2v = 10v + 4 + -5

Combine like terms: 6v + 2v = 8v
26 + 8v = 10v + 4 + -5

Reorder the terms:
26 + 8v = 4 + -5 + 10v

Combine like terms: 4 + -5 = -1
26 + 8v = -1 + 10v

Solving
26 + 8v = -1 + 10v

Solving for variable 'v'.

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

Add '-10v' to each side of the equation.
26 + 8v + -10v = -1 + 10v + -10v

Combine like terms: 8v + -10v = -2v
26 + -2v = -1 + 10v + -10v

Combine like terms: 10v + -10v = 0
26 + -2v = -1 + 0
26 + -2v = -1

Add '-26' to each side of the equation.
26 + -26 + -2v = -1 + -26

Combine like terms: 26 + -26 = 0
0 + -2v = -1 + -26
-2v = -1 + -26

Combine like terms: -1 + -26 = -27
-2v = -27

Divide each side by '-2'.
v = 13.5

Simplifying
v = 13.5