7(2p-1)+5(2-3p)=2p

Solution for 7(2p-1)+5(2-3p)=2p equation:

Simplifying
7(2p + -1) + 5(2 + -3p) = 2p

Reorder the terms:
7(-1 + 2p) + 5(2 + -3p) = 2p
(-1 * 7 + 2p * 7) + 5(2 + -3p) = 2p
(-7 + 14p) + 5(2 + -3p) = 2p
-7 + 14p + (2 * 5 + -3p * 5) = 2p
-7 + 14p + (10 + -15p) = 2p

Reorder the terms:
-7 + 10 + 14p + -15p = 2p

Combine like terms: -7 + 10 = 3
3 + 14p + -15p = 2p

Combine like terms: 14p + -15p = -1p
3 + -1p = 2p

Solving
3 + -1p = 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
3 + -1p + -2p = 2p + -2p

Combine like terms: -1p + -2p = -3p
3 + -3p = 2p + -2p

Combine like terms: 2p + -2p = 0
3 + -3p = 0

Add '-3' to each side of the equation.
3 + -3 + -3p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3p = 0 + -3
-3p = 0 + -3

Combine like terms: 0 + -3 = -3
-3p = -3

Divide each side by '-3'.
p = 1

Simplifying
p = 1