Question

solve.
6x - 8 = 10x + 16
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 decimal.)
b. the solution is all real numbers.
c. there is no solution.

Explanation:

Step1: Subtract 6x from both sides

To isolate the variable terms, we subtract \(6x\) from both sides of the equation \(6x - 8 = 10x + 16\). This gives us \(-8 = 4x + 16\).

Step2: Subtract 16 from both sides

Next, we subtract 16 from both sides to get the constant term on the left. So, \(-8 - 16 = 4x\), which simplifies to \(-24 = 4x\).

Step3: Divide by 4

Finally, we divide both sides by 4 to solve for \(x\). Dividing \(-24\) by 4 gives \(x = -6\).

Answer:

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