Question

what is the solution to this equation?
5x = 140
a. x = 700
b. x = 28
c. x = 14
d. x = 135

Explanation:

Step1: Isolate the variable \( x \)

To solve for \( x \) in the equation \( 5x = 140 \), we divide both sides of the equation by 5. This is based on the division property of equality, which states that if \( a = b \), then \( \frac{a}{c} = \frac{b}{c} \) (where \( c
eq 0 \)).
\[
\frac{5x}{5} = \frac{140}{5}
\]

Step2: Simplify both sides

Simplifying the left side, \( \frac{5x}{5} \) simplifies to \( x \). Simplifying the right side, \( \frac{140}{5} = 28 \).
\[
x = 28
\]

Answer:

B. \( x = 28 \)