Question
Part 1 of 2 Complete the steps to solve the equation \( 6 x+1.6=58 \). \[ \begin{array}{l} 6 x+1.6=58 \\ \text { Write the original equation. } \\ \text { (Simplify your answer.) }\end{array} \]
Ask by Reeves Wheeler. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x=9.4 \)
Solution
Solve the equation \( 6x+1.6=58 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(6x+1.6=58\)
- step1: Move the constant to the right side:
\(6x=58-1.6\)
- step2: Subtract the numbers:
\(6x=56.4\)
- step3: Divide both sides:
\(\frac{6x}{6}=\frac{56.4}{6}\)
- step4: Divide the numbers:
\(x=\frac{47}{5}\)
The solution to the equation \(6x+1.6=58\) is \(x=\frac{47}{5}\) or \(x=9.4\).
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Mind Expander
To solve the equation \( 6x + 1.6 = 58 \), we start by isolating \( x \). First, subtract \( 1.6 \) from both sides: \[ 6x + 1.6 - 1.6 = 58 - 1.6 \] This simplifies to: \[ 6x = 56.4 \] Now, divide both sides by \( 6 \) to solve for \( x \): \[ x = \frac{56.4}{6} \] Simplifying this gives us: \[ x = 9.4 \] So, the value of \( x \) is \( 9.4 \).