5(3a-1)-2(3+2)=3(a+2)+v

Solution for 5(3a-1)-2(3+2)=3(a+2)+v equation:

Simplifying
5(3a + -1) + -2(3 + 2) = 3(a + 2) + v

Reorder the terms:
5(-1 + 3a) + -2(3 + 2) = 3(a + 2) + v
(-1 * 5 + 3a * 5) + -2(3 + 2) = 3(a + 2) + v
(-5 + 15a) + -2(3 + 2) = 3(a + 2) + v

Combine like terms: 3 + 2 = 5
-5 + 15a + -2(5) = 3(a + 2) + v

Multiply -2 * 5
-5 + 15a + -10 = 3(a + 2) + v

Reorder the terms:
-5 + -10 + 15a = 3(a + 2) + v

Combine like terms: -5 + -10 = -15
-15 + 15a = 3(a + 2) + v

Reorder the terms:
-15 + 15a = 3(2 + a) + v
-15 + 15a = (2 * 3 + a * 3) + v
-15 + 15a = (6 + 3a) + v

Solving
-15 + 15a = 6 + 3a + v

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-15 + 15a + -3a = 6 + 3a + -3a + v

Combine like terms: 15a + -3a = 12a
-15 + 12a = 6 + 3a + -3a + v

Combine like terms: 3a + -3a = 0
-15 + 12a = 6 + 0 + v
-15 + 12a = 6 + v

Add '15' to each side of the equation.
-15 + 15 + 12a = 6 + 15 + v

Combine like terms: -15 + 15 = 0
0 + 12a = 6 + 15 + v
12a = 6 + 15 + v

Combine like terms: 6 + 15 = 21
12a = 21 + v

Divide each side by '12'.
a = 1.75 + 0.08333333333v

Simplifying
a = 1.75 + 0.08333333333v