Question

solve the equation and select the correct answer.
$3.2x - 2.5 = -1.1x + 6.1$

a) $x = -3$

b) $x = 3$

c) $x = -2$

d) $x = 2$

Explanation:

Step1: Add 1.1x to both sides

To isolate the x terms on one side, we add \(1.1x\) to both sides of the equation \(3.2x - 2.5 = -1.1x + 6.1\). This gives us \(3.2x + 1.1x - 2.5 = -1.1x + 1.1x + 6.1\), which simplifies to \(4.3x - 2.5 = 6.1\).

Step2: Add 2.5 to both sides

Next, we add \(2.5\) to both sides to isolate the term with x. So, \(4.3x - 2.5 + 2.5 = 6.1 + 2.5\), which simplifies to \(4.3x = 8.6\).

Step3: Divide by 4.3

Finally, we divide both sides by \(4.3\) to solve for x. \(x=\frac{8.6}{4.3}\), and since \(8.6\div4.3 = 2\), we get \(x = 2\).

Answer:

D) \(x = 2\)