4(3p+8)+2(5p-3)=114

Solution for 4(3p+8)+2(5p-3)=114 equation:

Simplifying
4(3p + 8) + 2(5p + -3) = 114

Reorder the terms:
4(8 + 3p) + 2(5p + -3) = 114
(8 * 4 + 3p * 4) + 2(5p + -3) = 114
(32 + 12p) + 2(5p + -3) = 114

Reorder the terms:
32 + 12p + 2(-3 + 5p) = 114
32 + 12p + (-3 * 2 + 5p * 2) = 114
32 + 12p + (-6 + 10p) = 114

Reorder the terms:
32 + -6 + 12p + 10p = 114

Combine like terms: 32 + -6 = 26
26 + 12p + 10p = 114

Combine like terms: 12p + 10p = 22p
26 + 22p = 114

Solving
26 + 22p = 114

Solving for variable 'p'.

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

Add '-26' to each side of the equation.
26 + -26 + 22p = 114 + -26

Combine like terms: 26 + -26 = 0
0 + 22p = 114 + -26
22p = 114 + -26

Combine like terms: 114 + -26 = 88
22p = 88

Divide each side by '22'.
p = 4

Simplifying
p = 4