5(x-1)+i=15i-20

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Solution for 5(x-1)+i=15i-20 equation:


Simplifying
5(x + -1) + i = 15i + -20

Reorder the terms:
5(-1 + x) + i = 15i + -20
(-1 * 5 + x * 5) + i = 15i + -20
(-5 + 5x) + i = 15i + -20

Reorder the terms:
-5 + i + 5x = 15i + -20

Reorder the terms:
-5 + i + 5x = -20 + 15i

Solving
-5 + i + 5x = -20 + 15i

Solving for variable 'i'.

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

Add '-15i' to each side of the equation.
-5 + i + -15i + 5x = -20 + 15i + -15i

Combine like terms: i + -15i = -14i
-5 + -14i + 5x = -20 + 15i + -15i

Combine like terms: 15i + -15i = 0
-5 + -14i + 5x = -20 + 0
-5 + -14i + 5x = -20

Add '5' to each side of the equation.
-5 + -14i + 5 + 5x = -20 + 5

Reorder the terms:
-5 + 5 + -14i + 5x = -20 + 5

Combine like terms: -5 + 5 = 0
0 + -14i + 5x = -20 + 5
-14i + 5x = -20 + 5

Combine like terms: -20 + 5 = -15
-14i + 5x = -15

Add '-5x' to each side of the equation.
-14i + 5x + -5x = -15 + -5x

Combine like terms: 5x + -5x = 0
-14i + 0 = -15 + -5x
-14i = -15 + -5x

Divide each side by '-14'.
i = 1.071428571 + 0.3571428571x

Simplifying
i = 1.071428571 + 0.3571428571x

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