Question

solve the equation.
x + 18 + 4x = -28 - 4x - 35

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 fraction.)
b. the solution is all real numbers.
c. there is no solution.

Explanation:

Step1: Combine like terms

Left side: \(x + 4x + 18 = 5x + 18\)
Right side: \(-28 - 35 - 4x = -63 - 4x\)
Equation becomes: \(5x + 18 = -4x - 63\)

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

\(5x + 4x + 18 = -63\)
\(9x + 18 = -63\)

Step3: Subtract 18 from both sides

\(9x = -63 - 18\)
\(9x = -81\)

Step4: Divide by 9

\(x = \frac{-81}{9} = -9\)

Answer:

A. The solution is \(x = -9\).