0.50(p+1)=0.75(p-1)

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Solution for 0.50(p+1)=0.75(p-1) equation: 


Simplifying
0.50(p + 1) = 0.75(p + -1)

Reorder the terms:
0.50(1 + p) = 0.75(p + -1)
(1 * 0.50 + p * 0.50) = 0.75(p + -1)
(0.5 + 0.50p) = 0.75(p + -1)

Reorder the terms:
0.5 + 0.50p = 0.75(-1 + p)
0.5 + 0.50p = (-1 * 0.75 + p * 0.75)
0.5 + 0.50p = (-0.75 + 0.75p)

Solving
0.5 + 0.50p = -0.75 + 0.75p

Solving for variable 'p'.

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

Add '-0.75p' to each side of the equation.
0.5 + 0.50p + -0.75p = -0.75 + 0.75p + -0.75p

Combine like terms: 0.50p + -0.75p = -0.25p
0.5 + -0.25p = -0.75 + 0.75p + -0.75p

Combine like terms: 0.75p + -0.75p = 0.00
0.5 + -0.25p = -0.75 + 0.00
0.5 + -0.25p = -0.75

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -0.25p = -0.75 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.25p = -0.75 + -0.5
-0.25p = -0.75 + -0.5

Combine like terms: -0.75 + -0.5 = -1.25
-0.25p = -1.25

Divide each side by '-0.25'.
p = 5

Simplifying
p = 5

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