0.3(n-5)=0.2(n-7)

Solution for 0.3(n-5)=0.2(n-7) equation:

Simplifying
0.3(n + -5) = 0.2(n + -7)

Reorder the terms:
0.3(-5 + n) = 0.2(n + -7)
(-5 * 0.3 + n * 0.3) = 0.2(n + -7)
(-1.5 + 0.3n) = 0.2(n + -7)

Reorder the terms:
-1.5 + 0.3n = 0.2(-7 + n)
-1.5 + 0.3n = (-7 * 0.2 + n * 0.2)
-1.5 + 0.3n = (-1.4 + 0.2n)

Solving
-1.5 + 0.3n = -1.4 + 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.
-1.5 + 0.3n + -0.2n = -1.4 + 0.2n + -0.2n

Combine like terms: 0.3n + -0.2n = 0.1n
-1.5 + 0.1n = -1.4 + 0.2n + -0.2n

Combine like terms: 0.2n + -0.2n = 0.0
-1.5 + 0.1n = -1.4 + 0.0
-1.5 + 0.1n = -1.4

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.1n = -1.4 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.1n = -1.4 + 1.5
0.1n = -1.4 + 1.5

Combine like terms: -1.4 + 1.5 = 0.1
0.1n = 0.1

Divide each side by '0.1'.
n = 1

Simplifying
n = 1