2(3p-6)=5(4-p)

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Solution for 2(3p-6)=5(4-p) equation:


Simplifying
2(3p + -6) = 5(4 + -1p)

Reorder the terms:
2(-6 + 3p) = 5(4 + -1p)
(-6 * 2 + 3p * 2) = 5(4 + -1p)
(-12 + 6p) = 5(4 + -1p)
-12 + 6p = (4 * 5 + -1p * 5)
-12 + 6p = (20 + -5p)

Solving
-12 + 6p = 20 + -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.
-12 + 6p + 5p = 20 + -5p + 5p

Combine like terms: 6p + 5p = 11p
-12 + 11p = 20 + -5p + 5p

Combine like terms: -5p + 5p = 0
-12 + 11p = 20 + 0
-12 + 11p = 20

Add '12' to each side of the equation.
-12 + 12 + 11p = 20 + 12

Combine like terms: -12 + 12 = 0
0 + 11p = 20 + 12
11p = 20 + 12

Combine like terms: 20 + 12 = 32
11p = 32

Divide each side by '11'.
p = 2.909090909

Simplifying
p = 2.909090909

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