2(3p-5)-3(5-2p)+18=19

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Solution for 2(3p-5)-3(5-2p)+18=19 equation: 


Simplifying
2(3p + -5) + -3(5 + -2p) + 18 = 19

Reorder the terms:
2(-5 + 3p) + -3(5 + -2p) + 18 = 19
(-5 * 2 + 3p * 2) + -3(5 + -2p) + 18 = 19
(-10 + 6p) + -3(5 + -2p) + 18 = 19
-10 + 6p + (5 * -3 + -2p * -3) + 18 = 19
-10 + 6p + (-15 + 6p) + 18 = 19

Reorder the terms:
-10 + -15 + 18 + 6p + 6p = 19

Combine like terms: -10 + -15 = -25
-25 + 18 + 6p + 6p = 19

Combine like terms: -25 + 18 = -7
-7 + 6p + 6p = 19

Combine like terms: 6p + 6p = 12p
-7 + 12p = 19

Solving
-7 + 12p = 19

Solving for variable 'p'.

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

Add '7' to each side of the equation.
-7 + 7 + 12p = 19 + 7

Combine like terms: -7 + 7 = 0
0 + 12p = 19 + 7
12p = 19 + 7

Combine like terms: 19 + 7 = 26
12p = 26

Divide each side by '12'.
p = 2.166666667

Simplifying
p = 2.166666667

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