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How do you solve #0.5(2x+8)=x-4#?

Answer 1

Hazel Anglin

See explanation.

First step is to multiply the expression in brackets on the left side by #0.5#:

Now we can move the unknown #x# to left side and the numbers to right side:

There are no solutions to the original equation because the last equality is untrue.

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Answer 2

Abigail Allen

To solve the equation 0.5(2x + 8) = x - 4:

Distribute the 0.5: 0.5 * 2x + 0.5 * 8 = x - 4
Simplify both sides: x + 4 = x - 4
Subtract x from both sides: 4 = -4
This results in a contradiction, meaning there is no solution to the equation.

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Answer from HIX Tutor

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.