Question

3.42 = 0.9 (x + 0.3)
simplify your answer completely

Explanation:

Step1: Divide both sides by 0.9

To isolate the term with \( x \), we divide both sides of the equation \( 3.42 = 0.9(x + 0.3) \) by \( 0.9 \).
\( \frac{3.42}{0.9}=\frac{0.9(x + 0.3)}{0.9} \)
Calculating \( \frac{3.42}{0.9} \), we get \( 3.8 \), and the right - hand side simplifies to \( x + 0.3 \). So the equation becomes \( 3.8=x + 0.3 \).

Step2: Subtract 0.3 from both sides

To solve for \( x \), we subtract \( 0.3 \) from both sides of the equation \( 3.8=x + 0.3 \).
\( 3.8-0.3=x+0.3 - 0.3 \)
Calculating \( 3.8 - 0.3 \) gives \( 3.5 \), and the right - hand side simplifies to \( x \).

Answer:

\( x = 3.5 \)