3(I+1)=5(I-3)

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Solution for 3(I+1)=5(I-3) equation: 


Simplifying
3(I + 1) = 5(I + -3)

Reorder the terms:
3(1 + I) = 5(I + -3)
(1 * 3 + I * 3) = 5(I + -3)
(3 + 3I) = 5(I + -3)

Reorder the terms:
3 + 3I = 5(-3 + I)
3 + 3I = (-3 * 5 + I * 5)
3 + 3I = (-15 + 5I)

Solving
3 + 3I = -15 + 5I

Solving for variable 'I'.

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

Add '-5I' to each side of the equation.
3 + 3I + -5I = -15 + 5I + -5I

Combine like terms: 3I + -5I = -2I
3 + -2I = -15 + 5I + -5I

Combine like terms: 5I + -5I = 0
3 + -2I = -15 + 0
3 + -2I = -15

Add '-3' to each side of the equation.
3 + -3 + -2I = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -2I = -15 + -3
-2I = -15 + -3

Combine like terms: -15 + -3 = -18
-2I = -18

Divide each side by '-2'.
I = 9

Simplifying
I = 9

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