5p-7(3-p)=6+2(p+5)

Solution for 5p-7(3-p)=6+2(p+5) equation:

Simplifying
5p + -7(3 + -1p) = 6 + 2(p + 5)
5p + (3 * -7 + -1p * -7) = 6 + 2(p + 5)
5p + (-21 + 7p) = 6 + 2(p + 5)

Reorder the terms:
-21 + 5p + 7p = 6 + 2(p + 5)

Combine like terms: 5p + 7p = 12p
-21 + 12p = 6 + 2(p + 5)

Reorder the terms:
-21 + 12p = 6 + 2(5 + p)
-21 + 12p = 6 + (5 * 2 + p * 2)
-21 + 12p = 6 + (10 + 2p)

Combine like terms: 6 + 10 = 16
-21 + 12p = 16 + 2p

Solving
-21 + 12p = 16 + 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.
-21 + 12p + -2p = 16 + 2p + -2p

Combine like terms: 12p + -2p = 10p
-21 + 10p = 16 + 2p + -2p

Combine like terms: 2p + -2p = 0
-21 + 10p = 16 + 0
-21 + 10p = 16

Add '21' to each side of the equation.
-21 + 21 + 10p = 16 + 21

Combine like terms: -21 + 21 = 0
0 + 10p = 16 + 21
10p = 16 + 21

Combine like terms: 16 + 21 = 37
10p = 37

Divide each side by '10'.
p = 3.7

Simplifying
p = 3.7