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Answer :
Sure! To determine the value of [tex]\( x \)[/tex] in the equation [tex]\( 3.2x - 9.6 = 38.4 \)[/tex], follow these steps:
1. Add 9.6 to both sides of the equation:
[tex]\[
3.2x - 9.6 + 9.6 = 38.4 + 9.6
\][/tex]
Simplifying the left-hand side:
[tex]\[
3.2x = 48.0
\][/tex]
2. Divide both sides of the equation by 3.2:
[tex]\[
\frac{3.2x}{3.2} = \frac{48.0}{3.2}
\][/tex]
Simplifying both sides:
[tex]\[
x = 15.0
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 15.0 \)[/tex].
1. Add 9.6 to both sides of the equation:
[tex]\[
3.2x - 9.6 + 9.6 = 38.4 + 9.6
\][/tex]
Simplifying the left-hand side:
[tex]\[
3.2x = 48.0
\][/tex]
2. Divide both sides of the equation by 3.2:
[tex]\[
\frac{3.2x}{3.2} = \frac{48.0}{3.2}
\][/tex]
Simplifying both sides:
[tex]\[
x = 15.0
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 15.0 \)[/tex].
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