2(x-1)=4(2.5+x)I

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Solution for 2(x-1)=4(2.5+x)I equation: 


Simplifying
2(x + -1) = 4(2.5 + x) * I

Reorder the terms:
2(-1 + x) = 4(2.5 + x) * I
(-1 * 2 + x * 2) = 4(2.5 + x) * I
(-2 + 2x) = 4(2.5 + x) * I

Reorder the terms for easier multiplication:
-2 + 2x = 4I(2.5 + x)
-2 + 2x = (2.5 * 4I + x * 4I)
-2 + 2x = (10I + 4xI)

Solving
-2 + 2x = 10I + 4xI

Solving for variable 'x'.

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

Add '-4xI' to each side of the equation.
-2 + 2x + -4xI = 10I + 4xI + -4xI

Combine like terms: 4xI + -4xI = 0
-2 + 2x + -4xI = 10I + 0
-2 + 2x + -4xI = 10I

Add '2' to each side of the equation.
-2 + 2x + 2 + -4xI = 2 + 10I

Reorder the terms:
-2 + 2 + 2x + -4xI = 2 + 10I

Combine like terms: -2 + 2 = 0
0 + 2x + -4xI = 2 + 10I
2x + -4xI = 2 + 10I

Reorder the terms:
-2 + -10I + 2x + -4xI = 2 + 10I + -2 + -10I

Reorder the terms:
-2 + -10I + 2x + -4xI = 2 + -2 + 10I + -10I

Combine like terms: 2 + -2 = 0
-2 + -10I + 2x + -4xI = 0 + 10I + -10I
-2 + -10I + 2x + -4xI = 10I + -10I

Combine like terms: 10I + -10I = 0
-2 + -10I + 2x + -4xI = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -5I + x + -2xI) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -5I + x + -2xI)' equal to zero and attempt to solve:

Simplifying
-1 + -5I + x + -2xI = 0

Solving
-1 + -5I + x + -2xI = 0

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

Add '1' to each side of the equation.
-1 + -5I + x + 1 + -2xI = 0 + 1

Reorder the terms:
-1 + 1 + -5I + x + -2xI = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5I + x + -2xI = 0 + 1
-5I + x + -2xI = 0 + 1

Combine like terms: 0 + 1 = 1
-5I + x + -2xI = 1

Add '5I' to each side of the equation.
-5I + x + 5I + -2xI = 1 + 5I

Reorder the terms:
-5I + 5I + x + -2xI = 1 + 5I

Combine like terms: -5I + 5I = 0
0 + x + -2xI = 1 + 5I
x + -2xI = 1 + 5I

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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