3(p+5)-2(p+3)=10

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Solution for 3(p+5)-2(p+3)=10 equation:


Simplifying
3(p + 5) + -2(p + 3) = 10

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

Reorder the terms:
15 + 3p + -2(3 + p) = 10
15 + 3p + (3 * -2 + p * -2) = 10
15 + 3p + (-6 + -2p) = 10

Reorder the terms:
15 + -6 + 3p + -2p = 10

Combine like terms: 15 + -6 = 9
9 + 3p + -2p = 10

Combine like terms: 3p + -2p = 1p
9 + 1p = 10

Solving
9 + 1p = 10

Solving for variable 'p'.

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

Add '-9' to each side of the equation.
9 + -9 + 1p = 10 + -9

Combine like terms: 9 + -9 = 0
0 + 1p = 10 + -9
1p = 10 + -9

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

Divide each side by '1'.
p = 1

Simplifying
p = 1

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