Question

solve
0.7x - 5.3 = 0.3

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. x = (simplify your answer.)
b. the solution is all real numbers.
c. there is no solution.

Explanation:

Step1: Add 5.3 to both sides

To isolate the term with \( x \), we add 5.3 to both sides of the equation \( 0.7x - 5.3 = 0.3 \). This gives us \( 0.7x - 5.3 + 5.3 = 0.3 + 5.3 \). Simplifying both sides, we have \( 0.7x = 5.6 \).

Step2: Divide by 0.7

Next, we divide both sides of the equation \( 0.7x = 5.6 \) by 0.7 to solve for \( x \). So, \( x=\frac{5.6}{0.7} \). Calculating this division, we get \( x = 8 \).

Answer:

A. \( x = 8 \)