(2p-5e)=(3p+6r)+(p-r)

Solution for (2p-5e)=(3p+6r)+(p-r) equation:

Simplifying
(2p + -5e) = (3p + 6r) + (p + -1r)

Reorder the terms:
(-5e + 2p) = (3p + 6r) + (p + -1r)

Remove parenthesis around (-5e + 2p)
-5e + 2p = (3p + 6r) + (p + -1r)

Remove parenthesis around (3p + 6r)
-5e + 2p = 3p + 6r + (p + -1r)

Remove parenthesis around (p + -1r)
-5e + 2p = 3p + 6r + p + -1r

Reorder the terms:
-5e + 2p = 3p + p + 6r + -1r

Combine like terms: 3p + p = 4p
-5e + 2p = 4p + 6r + -1r

Combine like terms: 6r + -1r = 5r
-5e + 2p = 4p + 5r

Solving
-5e + 2p = 4p + 5r

Solving for variable 'e'.

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

Add '-2p' to each side of the equation.
-5e + 2p + -2p = 4p + -2p + 5r

Combine like terms: 2p + -2p = 0
-5e + 0 = 4p + -2p + 5r
-5e = 4p + -2p + 5r

Combine like terms: 4p + -2p = 2p
-5e = 2p + 5r

Divide each side by '-5'.
e = -0.4p + -1r

Simplifying
e = -0.4p + -1r