0.3[n-5]=0.4-0.2[n-7]

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Solution for 0.3[n-5]=0.4-0.2[n-7] equation: 


Simplifying
0.3[n + -5] = 0.4 + -0.2[n + -7]

Reorder the terms:
0.3[-5 + n] = 0.4 + -0.2[n + -7]
[-5 * 0.3 + n * 0.3] = 0.4 + -0.2[n + -7]
[-1.5 + 0.3n] = 0.4 + -0.2[n + -7]

Reorder the terms:
-1.5 + 0.3n = 0.4 + -0.2[-7 + n]
-1.5 + 0.3n = 0.4 + [-7 * -0.2 + n * -0.2]
-1.5 + 0.3n = 0.4 + [1.4 + -0.2n]

Combine like terms: 0.4 + 1.4 = 1.8
-1.5 + 0.3n = 1.8 + -0.2n

Solving
-1.5 + 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.
-1.5 + 0.3n + 0.2n = 1.8 + -0.2n + 0.2n

Combine like terms: 0.3n + 0.2n = 0.5n
-1.5 + 0.5n = 1.8 + -0.2n + 0.2n

Combine like terms: -0.2n + 0.2n = 0.0
-1.5 + 0.5n = 1.8 + 0.0
-1.5 + 0.5n = 1.8

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.5n = 1.8 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.5n = 1.8 + 1.5
0.5n = 1.8 + 1.5

Combine like terms: 1.8 + 1.5 = 3.3
0.5n = 3.3

Divide each side by '0.5'.
n = 6.6

Simplifying
n = 6.6

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