Math  /  Algebra

QuestionSolve for xx. x+488=5\frac{x+48}{8}=5
Simplify your answer as much as possible.

Studdy Solution

STEP 1

1. The equation x+488=5\frac{x+48}{8}=5 is a linear equation in one variable.
2. The goal is to solve for xx.
3. The equation involves basic algebraic operations, specifically multiplication and subtraction.

STEP 2

1. Eliminate the fraction by multiplying both sides by the denominator.
2. Isolate the variable xx by performing algebraic operations.
3. Simplify the solution.

STEP 3

To eliminate the fraction, multiply both sides of the equation by 8:
8×x+488=8×58 \times \frac{x+48}{8} = 8 \times 5
This simplifies to:
x+48=40x + 48 = 40

STEP 4

Subtract 48 from both sides to isolate xx:
x+4848=4048x + 48 - 48 = 40 - 48
Simplifying gives:
x=8x = -8

STEP 5

The solution is already simplified. Therefore, the final solution is:
8\boxed{-8}

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