What are the correct steps to solve the equation

Question

1.5x+3.9=8.4?
Responses

First, add 3.9 to both sides of the equation. Then, divide by 1.5 on both sides of the equation.

First, add 8.4 to both sides of the equation. Then, divide by 1.5 on both sides of the equation.
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First, subtract 3.9 from both sides of the equation. Then, divide by 1.5 on both sides of the equation.
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First, subtract 8.4 from both sides of the equation. Then, divide by 1.5 on both sides of the equation.

Answer 1

To solve the equation \(1.5x + 3.9 = 8.4\), you should follow these steps:

1. Subtract 3.9 from both sides. This allows you to isolate the term with \(x\) on one side of the equation. \[ 1.5x + 3.9 - 3.9 = 8.4 - 3.9 \] Simplifying this gives: \[ 1.5x = 4.5 \]

2. Divide both sides by 1.5 to solve for \(x\). \[ \frac{1.5x}{1.5} = \frac{4.5}{1.5} \] Simplifying this gives: \[ x = 3 \]

So, the correct choice from your responses is:

First, subtract 3.9 from both sides of the equation. Then, divide by 1.5 on both sides of the equation.