5(i+2)=8(i-7)

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Solution for 5(i+2)=8(i-7) equation:


Simplifying
5(i + 2) = 8(i + -7)

Reorder the terms:
5(2 + i) = 8(i + -7)
(2 * 5 + i * 5) = 8(i + -7)
(10 + 5i) = 8(i + -7)

Reorder the terms:
10 + 5i = 8(-7 + i)
10 + 5i = (-7 * 8 + i * 8)
10 + 5i = (-56 + 8i)

Solving
10 + 5i = -56 + 8i

Solving for variable 'i'.

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

Add '-8i' to each side of the equation.
10 + 5i + -8i = -56 + 8i + -8i

Combine like terms: 5i + -8i = -3i
10 + -3i = -56 + 8i + -8i

Combine like terms: 8i + -8i = 0
10 + -3i = -56 + 0
10 + -3i = -56

Add '-10' to each side of the equation.
10 + -10 + -3i = -56 + -10

Combine like terms: 10 + -10 = 0
0 + -3i = -56 + -10
-3i = -56 + -10

Combine like terms: -56 + -10 = -66
-3i = -66

Divide each side by '-3'.
i = 22

Simplifying
i = 22

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