0.3(n-5)=0.4(n-7)

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Solution for 0.3(n-5)=0.4(n-7) equation: 


Simplifying
0.3(n + -5) = 0.4(n + -7)

Reorder the terms:
0.3(-5 + n) = 0.4(n + -7)
(-5 * 0.3 + n * 0.3) = 0.4(n + -7)
(-1.5 + 0.3n) = 0.4(n + -7)

Reorder the terms:
-1.5 + 0.3n = 0.4(-7 + n)
-1.5 + 0.3n = (-7 * 0.4 + n * 0.4)
-1.5 + 0.3n = (-2.8 + 0.4n)

Solving
-1.5 + 0.3n = -2.8 + 0.4n

Solving for variable 'n'.

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

Add '-0.4n' to each side of the equation.
-1.5 + 0.3n + -0.4n = -2.8 + 0.4n + -0.4n

Combine like terms: 0.3n + -0.4n = -0.1n
-1.5 + -0.1n = -2.8 + 0.4n + -0.4n

Combine like terms: 0.4n + -0.4n = 0.0
-1.5 + -0.1n = -2.8 + 0.0
-1.5 + -0.1n = -2.8

Add '1.5' to each side of the equation.
-1.5 + 1.5 + -0.1n = -2.8 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + -0.1n = -2.8 + 1.5
-0.1n = -2.8 + 1.5

Combine like terms: -2.8 + 1.5 = -1.3
-0.1n = -1.3

Divide each side by '-0.1'.
n = 13

Simplifying
n = 13

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