Question

1. 378=6(5x+3)

Explanation:

Step1: Divide both sides by 6

To isolate the term with \( x \), we divide both sides of the equation \( 378 = 6(5x + 3) \) by 6.
\( \frac{378}{6} = \frac{6(5x + 3)}{6} \)
Simplifying, we get \( 63 = 5x + 3 \).

Step2: Subtract 3 from both sides

To isolate the term with \( x \), we subtract 3 from both sides of the equation \( 63 = 5x + 3 \).
\( 63 - 3 = 5x + 3 - 3 \)
Simplifying, we get \( 60 = 5x \).

Step3: Divide both sides by 5

To solve for \( x \), we divide both sides of the equation \( 60 = 5x \) by 5.
\( \frac{60}{5} = \frac{5x}{5} \)
Simplifying, we get \( x = 12 \).

Answer:

\( x = 12 \)