3(p+5)+6a=2(2+3a)

Solution for 3(p+5)+6a=2(2+3a) equation:

Simplifying
3(p + 5) + 6a = 2(2 + 3a)

Reorder the terms:
3(5 + p) + 6a = 2(2 + 3a)
(5 * 3 + p * 3) + 6a = 2(2 + 3a)
(15 + 3p) + 6a = 2(2 + 3a)

Reorder the terms:
15 + 6a + 3p = 2(2 + 3a)
15 + 6a + 3p = (2 * 2 + 3a * 2)
15 + 6a + 3p = (4 + 6a)

Add '-6a' to each side of the equation.
15 + 6a + -6a + 3p = 4 + 6a + -6a

Combine like terms: 6a + -6a = 0
15 + 0 + 3p = 4 + 6a + -6a
15 + 3p = 4 + 6a + -6a

Combine like terms: 6a + -6a = 0
15 + 3p = 4 + 0
15 + 3p = 4

Solving
15 + 3p = 4

Solving for variable 'p'.

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

Add '-15' to each side of the equation.
15 + -15 + 3p = 4 + -15

Combine like terms: 15 + -15 = 0
0 + 3p = 4 + -15
3p = 4 + -15

Combine like terms: 4 + -15 = -11
3p = -11

Divide each side by '3'.
p = -3.666666667

Simplifying
p = -3.666666667