3x-7=2x-i+x+7

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Solution for 3x-7=2x-i+x+7 equation:


Simplifying
3x + -7 = 2x + -1i + x + 7

Reorder the terms:
-7 + 3x = 2x + -1i + x + 7

Reorder the terms:
-7 + 3x = 7 + -1i + 2x + x

Combine like terms: 2x + x = 3x
-7 + 3x = 7 + -1i + 3x

Add '-3x' to each side of the equation.
-7 + 3x + -3x = 7 + -1i + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + 0 = 7 + -1i + 3x + -3x
-7 = 7 + -1i + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 = 7 + -1i + 0
-7 = 7 + -1i

Solving
-7 = 7 + -1i

Solving for variable 'i'.

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

Add 'i' to each side of the equation.
-7 + i = 7 + -1i + i

Combine like terms: -1i + i = 0
-7 + i = 7 + 0
-7 + i = 7

Add '7' to each side of the equation.
-7 + 7 + i = 7 + 7

Combine like terms: -7 + 7 = 0
0 + i = 7 + 7
i = 7 + 7

Combine like terms: 7 + 7 = 14
i = 14

Simplifying
i = 14

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