Question

solve.
7x - (6x + 8) = -2
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution is x = . (type an integer or a decimal.)
b. the solution is all real numbers.
c. there is no solution.

Explanation:

Step1: Remove parentheses

Using the distributive property, \(7x - (6x + 8)=7x - 6x - 8\)

Step2: Simplify like terms

\(7x - 6x - 8=x - 8\), so the equation becomes \(x - 8=-2\)

Step3: Solve for x

Add 8 to both sides: \(x - 8 + 8=-2 + 8\), which simplifies to \(x = 6\)

Answer:

A. The solution is \(x = 6\)