Solve for x
x=5
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6\times 7=\left(x-2\right)\times 14
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by 6\left(x-2\right), the least common multiple of x-2,6.
42=\left(x-2\right)\times 14
Multiply 6 and 7 to get 42.
42=14x-28
Use the distributive property to multiply x-2 by 14.
14x-28=42
Swap sides so that all variable terms are on the left hand side.
14x=42+28
Add 28 to both sides.
14x=70
Add 42 and 28 to get 70.
x=\frac{70}{14}
Divide both sides by 14.
x=5
Divide 70 by 14 to get 5.
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