4(3p+8)=15-(10-3p)

Solution for 4(3p+8)=15-(10-3p) equation:

Simplifying
4(3p + 8) = 15 + -1(10 + -3p)

Reorder the terms:
4(8 + 3p) = 15 + -1(10 + -3p)
(8 * 4 + 3p * 4) = 15 + -1(10 + -3p)
(32 + 12p) = 15 + -1(10 + -3p)
32 + 12p = 15 + (10 * -1 + -3p * -1)
32 + 12p = 15 + (-10 + 3p)

Combine like terms: 15 + -10 = 5
32 + 12p = 5 + 3p

Solving
32 + 12p = 5 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
32 + 12p + -3p = 5 + 3p + -3p

Combine like terms: 12p + -3p = 9p
32 + 9p = 5 + 3p + -3p

Combine like terms: 3p + -3p = 0
32 + 9p = 5 + 0
32 + 9p = 5

Add '-32' to each side of the equation.
32 + -32 + 9p = 5 + -32

Combine like terms: 32 + -32 = 0
0 + 9p = 5 + -32
9p = 5 + -32

Combine like terms: 5 + -32 = -27
9p = -27

Divide each side by '9'.
p = -3

Simplifying
p = -3