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

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


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

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

Combine like terms: 3 + 8 = 11
11 + 4p = 2p + 3(p + -4)

Reorder the terms:
11 + 4p = 2p + 3(-4 + p)
11 + 4p = 2p + (-4 * 3 + p * 3)
11 + 4p = 2p + (-12 + 3p)

Reorder the terms:
11 + 4p = -12 + 2p + 3p

Combine like terms: 2p + 3p = 5p
11 + 4p = -12 + 5p

Solving
11 + 4p = -12 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
11 + 4p + -5p = -12 + 5p + -5p

Combine like terms: 4p + -5p = -1p
11 + -1p = -12 + 5p + -5p

Combine like terms: 5p + -5p = 0
11 + -1p = -12 + 0
11 + -1p = -12

Add '-11' to each side of the equation.
11 + -11 + -1p = -12 + -11

Combine like terms: 11 + -11 = 0
0 + -1p = -12 + -11
-1p = -12 + -11

Combine like terms: -12 + -11 = -23
-1p = -23

Divide each side by '-1'.
p = 23

Simplifying
p = 23

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