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

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 = 1
-1p = 1

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

Simplifying
p = -1