Question

What is the solution for x in the equation 0.5x + 4 + 0.9 x = x + 5?

A. x = 2.5.
B. x = 2.4.
C. x = 0.42.
D. x = 0.4.

Answer 1

To find the solution for x in the given equation, combine like terms, isolate x, and solve to find that x equals 2.5, which is answer option A.

Step-by-step explanation:

To find the solution for x in the equation 0.5x + 4 + 0.9x = x + 5, we will combine like terms and solve for x.

• Start by combining the terms that contain x on the left side: 0.5x + 0.9x becomes 1.4x.
• Rewrite the equation as 1.4x + 4 = x + 5.
• Subtract x from both sides to get 0.4x + 4 = 5.
• Next, subtract 4 from both sides to isolate 0.4x which gives you 0.4x = 1.
• Finally, divide both sides by 0.4 to solve for x, which gives x = 2.5.

Therefore, the solution for x is 2.5, which corresponds to option A.