3(2p-4)-2(p-5)=14

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Solution for 3(2p-4)-2(p-5)=14 equation:


Simplifying
3(2p + -4) + -2(p + -5) = 14

Reorder the terms:
3(-4 + 2p) + -2(p + -5) = 14
(-4 * 3 + 2p * 3) + -2(p + -5) = 14
(-12 + 6p) + -2(p + -5) = 14

Reorder the terms:
-12 + 6p + -2(-5 + p) = 14
-12 + 6p + (-5 * -2 + p * -2) = 14
-12 + 6p + (10 + -2p) = 14

Reorder the terms:
-12 + 10 + 6p + -2p = 14

Combine like terms: -12 + 10 = -2
-2 + 6p + -2p = 14

Combine like terms: 6p + -2p = 4p
-2 + 4p = 14

Solving
-2 + 4p = 14

Solving for variable 'p'.

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

Add '2' to each side of the equation.
-2 + 2 + 4p = 14 + 2

Combine like terms: -2 + 2 = 0
0 + 4p = 14 + 2
4p = 14 + 2

Combine like terms: 14 + 2 = 16
4p = 16

Divide each side by '4'.
p = 4

Simplifying
p = 4

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