Question

question 1 of 5
select the correct answer.
what is the solution for x in the equation?
2x - 3x - 18 = -18 + 2x + 5x
x = 4.5
x = -4.5
x = 6
x = 0

Explanation:

Step1: Simplify both sides

Simplify left side: \(2x - 3x - 18 = -x - 18\)
Simplify right side: \(-18 + 2x + 5x = -18 + 7x\)
Now equation is \(-x - 18 = -18 + 7x\)

Step2: Add \(x\) to both sides

\(-x - 18 + x = -18 + 7x + x\)
Simplify: \(-18 = -18 + 8x\)

Step3: Add 18 to both sides

\(-18 + 18 = -18 + 8x + 18\)
Simplify: \(0 = 8x\)

Step4: Divide by 8

\(\frac{0}{8} = \frac{8x}{8}\)
Simplify: \(x = 0\)

Answer:

\(x = 0\) (the option with \(x = 0\))