-3(6p+5)-2(2-14p)=3(5+3p)

Solution for -3(6p+5)-2(2-14p)=3(5+3p) equation:

Simplifying
-3(6p + 5) + -2(2 + -14p) = 3(5 + 3p)

Reorder the terms:
-3(5 + 6p) + -2(2 + -14p) = 3(5 + 3p)
(5 * -3 + 6p * -3) + -2(2 + -14p) = 3(5 + 3p)
(-15 + -18p) + -2(2 + -14p) = 3(5 + 3p)
-15 + -18p + (2 * -2 + -14p * -2) = 3(5 + 3p)
-15 + -18p + (-4 + 28p) = 3(5 + 3p)

Reorder the terms:
-15 + -4 + -18p + 28p = 3(5 + 3p)

Combine like terms: -15 + -4 = -19
-19 + -18p + 28p = 3(5 + 3p)

Combine like terms: -18p + 28p = 10p
-19 + 10p = 3(5 + 3p)
-19 + 10p = (5 * 3 + 3p * 3)
-19 + 10p = (15 + 9p)

Solving
-19 + 10p = 15 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-19 + 10p + -9p = 15 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-19 + 1p = 15 + 9p + -9p

Combine like terms: 9p + -9p = 0
-19 + 1p = 15 + 0
-19 + 1p = 15

Add '19' to each side of the equation.
-19 + 19 + 1p = 15 + 19

Combine like terms: -19 + 19 = 0
0 + 1p = 15 + 19
1p = 15 + 19

Combine like terms: 15 + 19 = 34
1p = 34

Divide each side by '1'.
p = 34

Simplifying
p = 34