7(3-i)=5(2-i)

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Solution for 7(3-i)=5(2-i) equation:


Simplifying
7(3 + -1i) = 5(2 + -1i)
(3 * 7 + -1i * 7) = 5(2 + -1i)
(21 + -7i) = 5(2 + -1i)
21 + -7i = (2 * 5 + -1i * 5)
21 + -7i = (10 + -5i)

Solving
21 + -7i = 10 + -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.
21 + -7i + 5i = 10 + -5i + 5i

Combine like terms: -7i + 5i = -2i
21 + -2i = 10 + -5i + 5i

Combine like terms: -5i + 5i = 0
21 + -2i = 10 + 0
21 + -2i = 10

Add '-21' to each side of the equation.
21 + -21 + -2i = 10 + -21

Combine like terms: 21 + -21 = 0
0 + -2i = 10 + -21
-2i = 10 + -21

Combine like terms: 10 + -21 = -11
-2i = -11

Divide each side by '-2'.
i = 5.5

Simplifying
i = 5.5

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