.5(p+1)=.75(p-2)

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Solution for .5(p+1)=.75(p-2) equation: 


Simplifying
0.5(p + 1) = 0.75(p + -2)

Reorder the terms:
0.5(1 + p) = 0.75(p + -2)
(1 * 0.5 + p * 0.5) = 0.75(p + -2)
(0.5 + 0.5p) = 0.75(p + -2)

Reorder the terms:
0.5 + 0.5p = 0.75(-2 + p)
0.5 + 0.5p = (-2 * 0.75 + p * 0.75)
0.5 + 0.5p = (-1.5 + 0.75p)

Solving
0.5 + 0.5p = -1.5 + 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 + 0.5p + -0.75p = -1.5 + 0.75p + -0.75p

Combine like terms: 0.5p + -0.75p = -0.25p
0.5 + -0.25p = -1.5 + 0.75p + -0.75p

Combine like terms: 0.75p + -0.75p = 0.00
0.5 + -0.25p = -1.5 + 0.00
0.5 + -0.25p = -1.5

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -0.25p = -1.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.25p = -1.5 + -0.5
-0.25p = -1.5 + -0.5

Combine like terms: -1.5 + -0.5 = -2
-0.25p = -2

Divide each side by '-0.25'.
p = 8

Simplifying
p = 8

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