To solve the equation \(5.6x - 1.03 = 3.3x + 1.5\), follow these steps:
1. First, isolate the terms involving \(x\) on one side and the constant terms on the other side.
Start by subtracting \(3.3x\) from both sides of the equation:
[tex]\[
5.6x - 1.03 - 3.3x = 3.3x + 1.5 - 3.3x
\][/tex]
Simplifying this, we get:
[tex]\[
2.3x - 1.03 = 1.5
\][/tex]
2. Next, isolate \(x\) by moving the constant term \(-1.03\) to the right side.
Add \(1.03\) to both sides of the equation:
[tex]\[
2.3x - 1.03 + 1.03 = 1.5 + 1.03
\][/tex]
Simplifying this, we get:
[tex]\[
2.3x = 2.53
\][/tex]
3. Solve for \(x\) by dividing both sides by \(2.3\).
[tex]\[
x = \frac{2.53}{2.3}
\][/tex]
4. Calculate the value of the fraction.
[tex]\[
x = 1.1
\][/tex]
Comparing this result with the options provided, we can see that \(1.1\) can also be written as \(\frac{11}{10}\). Therefore, the correct choice is:
B. [tex]\(x = \frac{11}{10}\)[/tex]
