How do you solve #x/3 - 5 =3(x-2)#?
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To solve the equation ( \frac{x}{3} - 5 = 3(x-2) ), follow these steps:
- Distribute 3 across ( (x-2) ) to get ( 3x - 6 ).
- Combine like terms to get ( \frac{x}{3} - 5 = 3x - 6 ).
- Multiply both sides by 3 to eliminate the fraction, resulting in ( x - 15 = 9x - 18 ).
- Subtract ( x ) from both sides to get ( -15 = 8x - 18 ).
- Add 18 to both sides to isolate ( x ), resulting in ( 3 = 8x ).
- Divide both sides by 8 to solve for ( x ), yielding ( x = \frac{3}{8} ).
So, the solution to the equation is ( x = \frac{3}{8} ).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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