5(p)+2(1-p)=4(p)+7(1-p)

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Solution for 5(p)+2(1-p)=4(p)+7(1-p) equation: 


Simplifying
5(p) + 2(1 + -1p) = 4(p) + 7(1 + -1p)
5p + (1 * 2 + -1p * 2) = 4(p) + 7(1 + -1p)
5p + (2 + -2p) = 4(p) + 7(1 + -1p)

Reorder the terms:
2 + 5p + -2p = 4(p) + 7(1 + -1p)

Combine like terms: 5p + -2p = 3p
2 + 3p = 4(p) + 7(1 + -1p)
2 + 3p = 4p + (1 * 7 + -1p * 7)
2 + 3p = 4p + (7 + -7p)

Reorder the terms:
2 + 3p = 7 + 4p + -7p

Combine like terms: 4p + -7p = -3p
2 + 3p = 7 + -3p

Solving
2 + 3p = 7 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
2 + 3p + 3p = 7 + -3p + 3p

Combine like terms: 3p + 3p = 6p
2 + 6p = 7 + -3p + 3p

Combine like terms: -3p + 3p = 0
2 + 6p = 7 + 0
2 + 6p = 7

Add '-2' to each side of the equation.
2 + -2 + 6p = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 6p = 7 + -2
6p = 7 + -2

Combine like terms: 7 + -2 = 5
6p = 5

Divide each side by '6'.
p = 0.8333333333

Simplifying
p = 0.8333333333

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