0.3(n-50)=0.4-0.2(n-7)

Solution for 0.3(n-50)=0.4-0.2(n-7) equation:

Simplifying
0.3(n + -50) = 0.4 + -0.2(n + -7)

Reorder the terms:
0.3(-50 + n) = 0.4 + -0.2(n + -7)
(-50 * 0.3 + n * 0.3) = 0.4 + -0.2(n + -7)
(-15 + 0.3n) = 0.4 + -0.2(n + -7)

Reorder the terms:
-15 + 0.3n = 0.4 + -0.2(-7 + n)
-15 + 0.3n = 0.4 + (-7 * -0.2 + n * -0.2)
-15 + 0.3n = 0.4 + (1.4 + -0.2n)

Combine like terms: 0.4 + 1.4 = 1.8
-15 + 0.3n = 1.8 + -0.2n

Solving
-15 + 0.3n = 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 + 0.3n + 0.2n = 1.8 + -0.2n + 0.2n

Combine like terms: 0.3n + 0.2n = 0.5n
-15 + 0.5n = 1.8 + -0.2n + 0.2n

Combine like terms: -0.2n + 0.2n = 0.0
-15 + 0.5n = 1.8 + 0.0
-15 + 0.5n = 1.8

Add '15' to each side of the equation.
-15 + 15 + 0.5n = 1.8 + 15

Combine like terms: -15 + 15 = 0
0 + 0.5n = 1.8 + 15
0.5n = 1.8 + 15

Combine like terms: 1.8 + 15 = 16.8
0.5n = 16.8

Divide each side by '0.5'.
n = 33.6

Simplifying
n = 33.6