Question

select the correct answer.
what is the solution for x in the equation?
0.5x + 4 + 0.9x = x + 5

a. x = 0.42
b. x = 2.5
c. x = 2.4
d. x = 0.4

Explanation:

Step1: Combine like terms on left

$0.5x + 0.9x + 4 = 1.4x + 4$

Step2: Subtract \(x\) from both sides

$1.4x - x + 4 = x - x + 5$ → $0.4x + 4 = 5$

Step3: Subtract 4 from both sides

$0.4x + 4 - 4 = 5 - 4$ → $0.4x = 1$

Step4: Divide by 0.4

$x = \frac{1}{0.4} = 2.5$

Answer:

B. \( x = 2.5 \)