4(p-8)-3(2p+9)=2.5(2p-15)

Solution for 4(p-8)-3(2p+9)=2.5(2p-15) equation:

Simplifying
4(p + -8) + -3(2p + 9) = 2.5(2p + -15)

Reorder the terms:
4(-8 + p) + -3(2p + 9) = 2.5(2p + -15)
(-8 * 4 + p * 4) + -3(2p + 9) = 2.5(2p + -15)
(-32 + 4p) + -3(2p + 9) = 2.5(2p + -15)

Reorder the terms:
-32 + 4p + -3(9 + 2p) = 2.5(2p + -15)
-32 + 4p + (9 * -3 + 2p * -3) = 2.5(2p + -15)
-32 + 4p + (-27 + -6p) = 2.5(2p + -15)

Reorder the terms:
-32 + -27 + 4p + -6p = 2.5(2p + -15)

Combine like terms: -32 + -27 = -59
-59 + 4p + -6p = 2.5(2p + -15)

Combine like terms: 4p + -6p = -2p
-59 + -2p = 2.5(2p + -15)

Reorder the terms:
-59 + -2p = 2.5(-15 + 2p)
-59 + -2p = (-15 * 2.5 + 2p * 2.5)
-59 + -2p = (-37.5 + 5p)

Solving
-59 + -2p = -37.5 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-59 + -2p + -5p = -37.5 + 5p + -5p

Combine like terms: -2p + -5p = -7p
-59 + -7p = -37.5 + 5p + -5p

Combine like terms: 5p + -5p = 0
-59 + -7p = -37.5 + 0
-59 + -7p = -37.5

Add '59' to each side of the equation.
-59 + 59 + -7p = -37.5 + 59

Combine like terms: -59 + 59 = 0
0 + -7p = -37.5 + 59
-7p = -37.5 + 59

Combine like terms: -37.5 + 59 = 21.5
-7p = 21.5

Divide each side by '-7'.
p = -3.071428571

Simplifying
p = -3.071428571