Question

What is the value of x in the equation 1.54x + 0.285 = -0.28 + 0.356x?

a) x = 0.065
b) x = -0.425
c) x = 0.18
d) x = -0.12

Answer 1

To find the value of x, combine like terms, isolate x, and perform division. The value of x is approximately -0.476.

Step-by-step explanation:

To find the value of x in the equation 1.54x + 0.285 = -0.28 + 0.356x, we need to combine like terms and isolate x on one side. Here are the steps:

1. Combine like terms: 1.54x - 0.356x = -0.28 - 0.285, which simplifies to 1.184x = -0.565.
2. Isolate x by dividing both sides of the equation by 1.184: x = -0.565 ÷ 1.184.
3. Perform the division to find the value of x: x ≈ -0.476.

Therefore, the value of x in the equation 1.54x + 0.285 = -0.28 + 0.356x is approximately x = -0.476.