3p-4(p-2)+3(p+5)=113

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Solution for 3p-4(p-2)+3(p+5)=113 equation:


Simplifying
3p + -4(p + -2) + 3(p + 5) = 113

Reorder the terms:
3p + -4(-2 + p) + 3(p + 5) = 113
3p + (-2 * -4 + p * -4) + 3(p + 5) = 113
3p + (8 + -4p) + 3(p + 5) = 113

Reorder the terms:
3p + 8 + -4p + 3(5 + p) = 113
3p + 8 + -4p + (5 * 3 + p * 3) = 113
3p + 8 + -4p + (15 + 3p) = 113

Reorder the terms:
8 + 15 + 3p + -4p + 3p = 113

Combine like terms: 8 + 15 = 23
23 + 3p + -4p + 3p = 113

Combine like terms: 3p + -4p = -1p
23 + -1p + 3p = 113

Combine like terms: -1p + 3p = 2p
23 + 2p = 113

Solving
23 + 2p = 113

Solving for variable 'p'.

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

Add '-23' to each side of the equation.
23 + -23 + 2p = 113 + -23

Combine like terms: 23 + -23 = 0
0 + 2p = 113 + -23
2p = 113 + -23

Combine like terms: 113 + -23 = 90
2p = 90

Divide each side by '2'.
p = 45

Simplifying
p = 45

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