-1.3(n+0.5)=1.2(n+19)

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Solution for -1.3(n+0.5)=1.2(n+19) equation: 


Simplifying
-1.3(n + 0.5) = 1.2(n + 19)

Reorder the terms:
-1.3(0.5 + n) = 1.2(n + 19)
(0.5 * -1.3 + n * -1.3) = 1.2(n + 19)
(-0.65 + -1.3n) = 1.2(n + 19)

Reorder the terms:
-0.65 + -1.3n = 1.2(19 + n)
-0.65 + -1.3n = (19 * 1.2 + n * 1.2)
-0.65 + -1.3n = (22.8 + 1.2n)

Solving
-0.65 + -1.3n = 22.8 + 1.2n

Solving for variable 'n'.

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

Add '-1.2n' to each side of the equation.
-0.65 + -1.3n + -1.2n = 22.8 + 1.2n + -1.2n

Combine like terms: -1.3n + -1.2n = -2.5n
-0.65 + -2.5n = 22.8 + 1.2n + -1.2n

Combine like terms: 1.2n + -1.2n = 0.0
-0.65 + -2.5n = 22.8 + 0.0
-0.65 + -2.5n = 22.8

Add '0.65' to each side of the equation.
-0.65 + 0.65 + -2.5n = 22.8 + 0.65

Combine like terms: -0.65 + 0.65 = 0.00
0.00 + -2.5n = 22.8 + 0.65
-2.5n = 22.8 + 0.65

Combine like terms: 22.8 + 0.65 = 23.45
-2.5n = 23.45

Divide each side by '-2.5'.
n = -9.38

Simplifying
n = -9.38

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