2(4p-3)=5p+9

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Solution for 2(4p-3)=5p+9 equation:


Simplifying
2(4p + -3) = 5p + 9

Reorder the terms:
2(-3 + 4p) = 5p + 9
(-3 * 2 + 4p * 2) = 5p + 9
(-6 + 8p) = 5p + 9

Reorder the terms:
-6 + 8p = 9 + 5p

Solving
-6 + 8p = 9 + 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.
-6 + 8p + -5p = 9 + 5p + -5p

Combine like terms: 8p + -5p = 3p
-6 + 3p = 9 + 5p + -5p

Combine like terms: 5p + -5p = 0
-6 + 3p = 9 + 0
-6 + 3p = 9

Add '6' to each side of the equation.
-6 + 6 + 3p = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 3p = 9 + 6
3p = 9 + 6

Combine like terms: 9 + 6 = 15
3p = 15

Divide each side by '3'.
p = 5

Simplifying
p = 5

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