Question

solve the given equation for x.
9x - 3 - 6x = x + 7 + x

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

Explanation:

Step1: Combine like terms

Left side: \(9x - 6x - 3 = 3x - 3\)
Right side: \(x + x + 7 = 2x + 7\)
So the equation becomes \(3x - 3 = 2x + 7\)

Step2: Solve for x

Subtract \(2x\) from both sides: \(3x - 2x - 3 = 2x - 2x + 7\)
Simplify: \(x - 3 = 7\)
Add 3 to both sides: \(x - 3 + 3 = 7 + 3\)
Simplify: \(x = 10\)

Answer:

A. \(x = 10\)