3(p-3)+7=32-4(2p+5)

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Solution for 3(p-3)+7=32-4(2p+5) equation:


Simplifying
3(p + -3) + 7 = 32 + -4(2p + 5)

Reorder the terms:
3(-3 + p) + 7 = 32 + -4(2p + 5)
(-3 * 3 + p * 3) + 7 = 32 + -4(2p + 5)
(-9 + 3p) + 7 = 32 + -4(2p + 5)

Reorder the terms:
-9 + 7 + 3p = 32 + -4(2p + 5)

Combine like terms: -9 + 7 = -2
-2 + 3p = 32 + -4(2p + 5)

Reorder the terms:
-2 + 3p = 32 + -4(5 + 2p)
-2 + 3p = 32 + (5 * -4 + 2p * -4)
-2 + 3p = 32 + (-20 + -8p)

Combine like terms: 32 + -20 = 12
-2 + 3p = 12 + -8p

Solving
-2 + 3p = 12 + -8p

Solving for variable 'p'.

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

Add '8p' to each side of the equation.
-2 + 3p + 8p = 12 + -8p + 8p

Combine like terms: 3p + 8p = 11p
-2 + 11p = 12 + -8p + 8p

Combine like terms: -8p + 8p = 0
-2 + 11p = 12 + 0
-2 + 11p = 12

Add '2' to each side of the equation.
-2 + 2 + 11p = 12 + 2

Combine like terms: -2 + 2 = 0
0 + 11p = 12 + 2
11p = 12 + 2

Combine like terms: 12 + 2 = 14
11p = 14

Divide each side by '11'.
p = 1.272727273

Simplifying
p = 1.272727273

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