Questions: Solve the equation for (x). [ x/8-1=-5 x=square ]

Solve the equation for (x). [ x/8-1=-5 x=square ]
Transcript text: Solve the equation for $x$. \[ \begin{array}{l} \frac{x}{8}-1=-5 \\ x=\square \end{array} \]
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Solution

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Solution Steps

To solve the equation \(\frac{x}{8} - 1 = -5\), we need to isolate \(x\). First, add 1 to both sides of the equation to get \(\frac{x}{8} = -4\). Then, multiply both sides by 8 to solve for \(x\).

Step 1: Isolate the Variable

Starting with the equation: \[ \frac{x}{8} - 1 = -5 \] we add 1 to both sides: \[ \frac{x}{8} = -5 + 1 \] which simplifies to: \[ \frac{x}{8} = -4 \]

Step 2: Solve for \(x\)

Next, we multiply both sides by 8 to isolate \(x\): \[ x = -4 \times 8 \] Calculating this gives: \[ x = -32 \]

Final Answer

Thus, the solution to the equation is: \[ \boxed{x = -32} \]

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