Questions: Solve the equation. .7 x+7.65=10.8

Solve the equation.
.7 x+7.65=10.8
Transcript text: Solve the equation. \[ .7 x+7.65=10.8 \]
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Solution

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Solution Steps

To solve the equation \(0.7x + 7.65 = 10.8\), we need to isolate the variable \(x\). First, subtract 7.65 from both sides of the equation to get \(0.7x\) by itself. Then, divide both sides by 0.7 to solve for \(x\).

Step 1: Isolate the Variable

Starting with the equation: \[ 0.7x + 7.65 = 10.8 \] we subtract \(7.65\) from both sides: \[ 0.7x = 10.8 - 7.65 \] Calculating the right side gives: \[ 0.7x = 3.15 \]

Step 2: Solve for \(x\)

Next, we divide both sides by \(0.7\): \[ x = \frac{3.15}{0.7} \] Calculating this results in: \[ x = 4.5 \]

Final Answer

\(\boxed{x = 4.5}\)

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