Math  /  Algebra

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Find the value of xx in the equation below. x3=8\frac{x}{3}=8
Answer Attempt 1 out of 2 x=x= \square Submit Answer

Studdy Solution

STEP 1

1. The equation x3=8\frac{x}{3} = 8 is asking us to solve for xx.
2. This is a one-step equation with one solution.
3. The equation involves basic algebraic operations, specifically multiplication.

STEP 2

1. Understand the equation and what it represents.
2. Isolate the variable xx by performing algebraic operations.
3. Verify the solution by substituting it back into the original equation.

STEP 3

The equation x3=8\frac{x}{3} = 8 tells us that xx divided by 3 equals 8. To find xx, we need to reverse this operation.

STEP 4

To isolate xx, multiply both sides of the equation by 3:
3×x3=3×8 3 \times \frac{x}{3} = 3 \times 8

STEP 5

Simplify both sides of the equation:
x=24 x = 24

STEP 6

Verify the solution by substituting x=24x = 24 back into the original equation:
243=8 \frac{24}{3} = 8
Check if the left-hand side equals the right-hand side.

STEP 7

Simplify the left-hand side:
8=8 8 = 8
Both sides are equal, confirming our solution is correct.
Therefore, the solution is:
24 \boxed{24}

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