4(p-9)-3(2p+9)=2.5(2p-5)

Solution for 4(p-9)-3(2p+9)=2.5(2p-5) equation:

Simplifying
4(p + -9) + -3(2p + 9) = 2.5(2p + -5)

Reorder the terms:
4(-9 + p) + -3(2p + 9) = 2.5(2p + -5)
(-9 * 4 + p * 4) + -3(2p + 9) = 2.5(2p + -5)
(-36 + 4p) + -3(2p + 9) = 2.5(2p + -5)

Reorder the terms:
-36 + 4p + -3(9 + 2p) = 2.5(2p + -5)
-36 + 4p + (9 * -3 + 2p * -3) = 2.5(2p + -5)
-36 + 4p + (-27 + -6p) = 2.5(2p + -5)

Reorder the terms:
-36 + -27 + 4p + -6p = 2.5(2p + -5)

Combine like terms: -36 + -27 = -63
-63 + 4p + -6p = 2.5(2p + -5)

Combine like terms: 4p + -6p = -2p
-63 + -2p = 2.5(2p + -5)

Reorder the terms:
-63 + -2p = 2.5(-5 + 2p)
-63 + -2p = (-5 * 2.5 + 2p * 2.5)
-63 + -2p = (-12.5 + 5p)

Solving
-63 + -2p = -12.5 + 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.
-63 + -2p + -5p = -12.5 + 5p + -5p

Combine like terms: -2p + -5p = -7p
-63 + -7p = -12.5 + 5p + -5p

Combine like terms: 5p + -5p = 0
-63 + -7p = -12.5 + 0
-63 + -7p = -12.5

Add '63' to each side of the equation.
-63 + 63 + -7p = -12.5 + 63

Combine like terms: -63 + 63 = 0
0 + -7p = -12.5 + 63
-7p = -12.5 + 63

Combine like terms: -12.5 + 63 = 50.5
-7p = 50.5

Divide each side by '-7'.
p = -7.214285714

Simplifying
p = -7.214285714