0.4(5+2n)-0.5=3(0.3n+0.7)

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Solution for 0.4(5+2n)-0.5=3(0.3n+0.7) equation: 


Simplifying
0.4(5 + 2n) + -0.5 = 3(0.3n + 0.7)
(5 * 0.4 + 2n * 0.4) + -0.5 = 3(0.3n + 0.7)
(2 + 0.8n) + -0.5 = 3(0.3n + 0.7)

Reorder the terms:
2 + -0.5 + 0.8n = 3(0.3n + 0.7)

Combine like terms: 2 + -0.5 = 1.5
1.5 + 0.8n = 3(0.3n + 0.7)

Reorder the terms:
1.5 + 0.8n = 3(0.7 + 0.3n)
1.5 + 0.8n = (0.7 * 3 + 0.3n * 3)
1.5 + 0.8n = (2.1 + 0.9n)

Solving
1.5 + 0.8n = 2.1 + 0.9n

Solving for variable 'n'.

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

Add '-0.9n' to each side of the equation.
1.5 + 0.8n + -0.9n = 2.1 + 0.9n + -0.9n

Combine like terms: 0.8n + -0.9n = -0.1n
1.5 + -0.1n = 2.1 + 0.9n + -0.9n

Combine like terms: 0.9n + -0.9n = 0.0
1.5 + -0.1n = 2.1 + 0.0
1.5 + -0.1n = 2.1

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.1n = 2.1 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.1n = 2.1 + -1.5
-0.1n = 2.1 + -1.5

Combine like terms: 2.1 + -1.5 = 0.6
-0.1n = 0.6

Divide each side by '-0.1'.
n = -6

Simplifying
n = -6

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