(14x)Y-7=(7x)Y+7

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Solution for (14x)Y-7=(7x)Y+7 equation:


Simplifying
(14x) * Y + -7 = (7x) * Y + 7

Remove parenthesis around (14x)
14x * Y + -7 = (7x) * Y + 7

Multiply x * Y
14xY + -7 = (7x) * Y + 7

Reorder the terms:
-7 + 14xY = (7x) * Y + 7

Remove parenthesis around (7x)
-7 + 14xY = 7x * Y + 7

Multiply x * Y
-7 + 14xY = 7xY + 7

Reorder the terms:
-7 + 14xY = 7 + 7xY

Solving
-7 + 14xY = 7 + 7xY

Solving for variable 'x'.

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

Add '-7xY' to each side of the equation.
-7 + 14xY + -7xY = 7 + 7xY + -7xY

Combine like terms: 14xY + -7xY = 7xY
-7 + 7xY = 7 + 7xY + -7xY

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

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

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

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

Divide each side by '7Y'.
x = 2Y-1

Simplifying
x = 2Y-1

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