3(n-5)=.4-.2(n-7)

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Solution for 3(n-5)=.4-.2(n-7) equation: 


Simplifying
3(n + -5) = 0.4 + -0.2(n + -7)

Reorder the terms:
3(-5 + n) = 0.4 + -0.2(n + -7)
(-5 * 3 + n * 3) = 0.4 + -0.2(n + -7)
(-15 + 3n) = 0.4 + -0.2(n + -7)

Reorder the terms:
-15 + 3n = 0.4 + -0.2(-7 + n)
-15 + 3n = 0.4 + (-7 * -0.2 + n * -0.2)
-15 + 3n = 0.4 + (1.4 + -0.2n)

Combine like terms: 0.4 + 1.4 = 1.8
-15 + 3n = 1.8 + -0.2n

Solving
-15 + 3n = 1.8 + -0.2n

Solving for variable 'n'.

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

Add '0.2n' to each side of the equation.
-15 + 3n + 0.2n = 1.8 + -0.2n + 0.2n

Combine like terms: 3n + 0.2n = 3.2n
-15 + 3.2n = 1.8 + -0.2n + 0.2n

Combine like terms: -0.2n + 0.2n = 0.0
-15 + 3.2n = 1.8 + 0.0
-15 + 3.2n = 1.8

Add '15' to each side of the equation.
-15 + 15 + 3.2n = 1.8 + 15

Combine like terms: -15 + 15 = 0
0 + 3.2n = 1.8 + 15
3.2n = 1.8 + 15

Combine like terms: 1.8 + 15 = 16.8
3.2n = 16.8

Divide each side by '3.2'.
n = 5.25

Simplifying
n = 5.25

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