Question

1. the sum of 6 and 7x is equal to 27. by constructing an equation, find the value of x. enter your next step here.

Explanation:

Step 1: Construct the equation

The sum of 6 and \(7x\) is equal to 27, so we can write the equation as \(6 + 7x = 27\).

Step 2: Subtract 6 from both sides

To isolate the term with \(x\), we subtract 6 from both sides of the equation:
\(6 + 7x - 6 = 27 - 6\)
Simplifying both sides gives \(7x = 21\).

Step 3: Divide both sides by 7

To solve for \(x\), we divide both sides of the equation by 7:
\(\frac{7x}{7}=\frac{21}{7}\)
Simplifying gives \(x = 3\).

Answer:

\(x = 3\)