-3(5p+5)-2(3-17p)=3(7+6p)

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Solution for -3(5p+5)-2(3-17p)=3(7+6p) equation:


Simplifying
-3(5p + 5) + -2(3 + -17p) = 3(7 + 6p)

Reorder the terms:
-3(5 + 5p) + -2(3 + -17p) = 3(7 + 6p)
(5 * -3 + 5p * -3) + -2(3 + -17p) = 3(7 + 6p)
(-15 + -15p) + -2(3 + -17p) = 3(7 + 6p)
-15 + -15p + (3 * -2 + -17p * -2) = 3(7 + 6p)
-15 + -15p + (-6 + 34p) = 3(7 + 6p)

Reorder the terms:
-15 + -6 + -15p + 34p = 3(7 + 6p)

Combine like terms: -15 + -6 = -21
-21 + -15p + 34p = 3(7 + 6p)

Combine like terms: -15p + 34p = 19p
-21 + 19p = 3(7 + 6p)
-21 + 19p = (7 * 3 + 6p * 3)
-21 + 19p = (21 + 18p)

Solving
-21 + 19p = 21 + 18p

Solving for variable 'p'.

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

Add '-18p' to each side of the equation.
-21 + 19p + -18p = 21 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-21 + 1p = 21 + 18p + -18p

Combine like terms: 18p + -18p = 0
-21 + 1p = 21 + 0
-21 + 1p = 21

Add '21' to each side of the equation.
-21 + 21 + 1p = 21 + 21

Combine like terms: -21 + 21 = 0
0 + 1p = 21 + 21
1p = 21 + 21

Combine like terms: 21 + 21 = 42
1p = 42

Divide each side by '1'.
p = 42

Simplifying
p = 42

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