2(3p-5)=10-(p-1)

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Solution for 2(3p-5)=10-(p-1) equation:


Simplifying
2(3p + -5) = 10 + -1(p + -1)

Reorder the terms:
2(-5 + 3p) = 10 + -1(p + -1)
(-5 * 2 + 3p * 2) = 10 + -1(p + -1)
(-10 + 6p) = 10 + -1(p + -1)

Reorder the terms:
-10 + 6p = 10 + -1(-1 + p)
-10 + 6p = 10 + (-1 * -1 + p * -1)
-10 + 6p = 10 + (1 + -1p)

Combine like terms: 10 + 1 = 11
-10 + 6p = 11 + -1p

Solving
-10 + 6p = 11 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
-10 + 6p + p = 11 + -1p + p

Combine like terms: 6p + p = 7p
-10 + 7p = 11 + -1p + p

Combine like terms: -1p + p = 0
-10 + 7p = 11 + 0
-10 + 7p = 11

Add '10' to each side of the equation.
-10 + 10 + 7p = 11 + 10

Combine like terms: -10 + 10 = 0
0 + 7p = 11 + 10
7p = 11 + 10

Combine like terms: 11 + 10 = 21
7p = 21

Divide each side by '7'.
p = 3

Simplifying
p = 3

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