Sure, let's solve the equation step by step:
Given the equation:
[tex]\[
\frac{3x}{4} - 2.4 = 8.4
\][/tex]
1. Isolate the term involving [tex]\( x \)[/tex] on one side:
Add 2.4 to both sides to get rid of the constant term on the left side:
[tex]\[
\frac{3x}{4} - 2.4 + 2.4 = 8.4 + 2.4
\][/tex]
This simplifies to:
[tex]\[
\frac{3x}{4} = 10.8
\][/tex]
2. Clear the fraction:
Multiply both sides of the equation by 4 to eliminate the denominator:
[tex]\[
4 \cdot \frac{3x}{4} = 10.8 \cdot 4
\][/tex]
This simplifies to:
[tex]\[
3x = 43.2
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
Divide both sides of the equation by 3 to isolate [tex]\( x \)[/tex]:
[tex]\[
x = \frac{43.2}{3}
\][/tex]
Simplifying this gives:
[tex]\[
x = 14.4
\][/tex]
Therefore, the solution to the equation [tex]\(\frac{3x}{4} - 2.4 = 8.4\)[/tex] is:
[tex]\[
x = 14.4
\][/tex]
