5(p+2q)-3(2p+q)=

Solution for 5(p+2q)-3(2p+q)= equation:

Simplifying
5(p + 2q) + -3(2p + q) = 0
(p * 5 + 2q * 5) + -3(2p + q) = 0
(5p + 10q) + -3(2p + q) = 0
5p + 10q + (2p * -3 + q * -3) = 0
5p + 10q + (-6p + -3q) = 0

Reorder the terms:
5p + -6p + 10q + -3q = 0

Combine like terms: 5p + -6p = -1p
-1p + 10q + -3q = 0

Combine like terms: 10q + -3q = 7q
-1p + 7q = 0

Solving
-1p + 7q = 0

Solving for variable 'p'.

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

Add '-7q' to each side of the equation.
-1p + 7q + -7q = 0 + -7q

Combine like terms: 7q + -7q = 0
-1p + 0 = 0 + -7q
-1p = 0 + -7q
Remove the zero:
-1p = -7q

Divide each side by '-1'.
p = 7q

Simplifying
p = 7q