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Math  /  Algebra

Question−1=x2−5-1=\frac{x}{2}-5
Simplify your answer as much as possible. x=x= □\square

Studdy Solution

STEP 1

1. The equation −1=x2−5 -1 = \frac{x}{2} - 5 is asking us to solve for x x .
2. This is a linear equation with one variable.
3. The equation involves basic algebraic operations, specifically addition and multiplication.

STEP 2

1. Isolate the fraction containing x x .
2. Eliminate the fraction by multiplying.
3. Simplify to find the value of x x .

STEP 3

To isolate the fraction x2\frac{x}{2}, we need to eliminate the constant term on the right side of the equation. Add 5 to both sides:
−1+5=x2−5+5 -1 + 5 = \frac{x}{2} - 5 + 5

STEP 4

Simplify both sides:
4=x2 4 = \frac{x}{2}

STEP 5

To eliminate the fraction, multiply both sides of the equation by 2:
2×4=2×x2 2 \times 4 = 2 \times \frac{x}{2}

STEP 6

Simplify both sides:
8=x 8 = x

STEP 7

The solution is:
x=8 x = 8

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