2(v-3)+5=4(v-17)

Solution for 2(v-3)+5=4(v-17) equation:

Simplifying
2(v + -3) + 5 = 4(v + -17)

Reorder the terms:
2(-3 + v) + 5 = 4(v + -17)
(-3 * 2 + v * 2) + 5 = 4(v + -17)
(-6 + 2v) + 5 = 4(v + -17)

Reorder the terms:
-6 + 5 + 2v = 4(v + -17)

Combine like terms: -6 + 5 = -1
-1 + 2v = 4(v + -17)

Reorder the terms:
-1 + 2v = 4(-17 + v)
-1 + 2v = (-17 * 4 + v * 4)
-1 + 2v = (-68 + 4v)

Solving
-1 + 2v = -68 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
-1 + 2v + -4v = -68 + 4v + -4v

Combine like terms: 2v + -4v = -2v
-1 + -2v = -68 + 4v + -4v

Combine like terms: 4v + -4v = 0
-1 + -2v = -68 + 0
-1 + -2v = -68

Add '1' to each side of the equation.
-1 + 1 + -2v = -68 + 1

Combine like terms: -1 + 1 = 0
0 + -2v = -68 + 1
-2v = -68 + 1

Combine like terms: -68 + 1 = -67
-2v = -67

Divide each side by '-2'.
v = 33.5

Simplifying
v = 33.5