0.5(n+1)=0.25(3n-5)

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Solution for 0.5(n+1)=0.25(3n-5) equation: 


Simplifying
0.5(n + 1) = 0.25(3n + -5)

Reorder the terms:
0.5(1 + n) = 0.25(3n + -5)
(1 * 0.5 + n * 0.5) = 0.25(3n + -5)
(0.5 + 0.5n) = 0.25(3n + -5)

Reorder the terms:
0.5 + 0.5n = 0.25(-5 + 3n)
0.5 + 0.5n = (-5 * 0.25 + 3n * 0.25)
0.5 + 0.5n = (-1.25 + 0.75n)

Solving
0.5 + 0.5n = -1.25 + 0.75n

Solving for variable 'n'.

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

Add '-0.75n' to each side of the equation.
0.5 + 0.5n + -0.75n = -1.25 + 0.75n + -0.75n

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

Combine like terms: 0.75n + -0.75n = 0.00
0.5 + -0.25n = -1.25 + 0.00
0.5 + -0.25n = -1.25

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -0.25n = -1.25 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.25n = -1.25 + -0.5
-0.25n = -1.25 + -0.5

Combine like terms: -1.25 + -0.5 = -1.75
-0.25n = -1.75

Divide each side by '-0.25'.
n = 7

Simplifying
n = 7

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