Question
What value of x satisfies the equation?: 3/2 x + 3 = 10
Answers
GPT-4o mini
To solve the equation \( \frac{3}{2} x + 3 = 10 \), follow these steps:
1. Subtract 3 from both sides of the equation:
\[
\frac{3}{2} x = 10 - 3
\]
\[
\frac{3}{2} x = 7
\]
2. To isolate \( x \), multiply both sides by the reciprocal of \( \frac{3}{2} \), which is \( \frac{2}{3} \):
\[
x = 7 \times \frac{2}{3}
\]
3. Carrying out the multiplication:
\[
x = \frac{14}{3}
\]
Thus, the value of \( x \) that satisfies the equation is \( \frac{14}{3} \).
1. Subtract 3 from both sides of the equation:
\[
\frac{3}{2} x = 10 - 3
\]
\[
\frac{3}{2} x = 7
\]
2. To isolate \( x \), multiply both sides by the reciprocal of \( \frac{3}{2} \), which is \( \frac{2}{3} \):
\[
x = 7 \times \frac{2}{3}
\]
3. Carrying out the multiplication:
\[
x = \frac{14}{3}
\]
Thus, the value of \( x \) that satisfies the equation is \( \frac{14}{3} \).