Question

solve.
6 - 4x = 7x - 9x - 6

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution is x = \boxed{}. (type an integer or a fraction.)
b. the solution is all real numbers.
c. there is no solution.

Explanation:

Step1: Simplify right side

Combine like terms: \(7x - 9x = -2x\), so equation becomes \(6 - 4x = -2x - 6\).

Step2: Add \(4x\) to both sides

\(6 - 4x + 4x = -2x - 6 + 4x\) → \(6 = 2x - 6\).

Step3: Add 6 to both sides

\(6 + 6 = 2x - 6 + 6\) → \(12 = 2x\).

Step4: Divide by 2

\(\frac{12}{2} = \frac{2x}{2}\) → \(x = 6\).

Answer:

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