Answer:
x = 0
Step-by-step explanation:
[tex]\frac{3}{2}(\frac{7}{3}x + 1) = \frac{3}{2}[/tex]
To start, let's multiply each side by the reciprocal of [tex]\frac{3}{2}[/tex]. Multiplying a fraction by its reciprocal gives us 1, which will make the left side of our equation simpler.
[tex]\frac{2}3} * \frac{3}{2}(\frac{7}{3}x + 1) = \frac{2}3} * \frac{3}{2}[/tex]
[tex]\frac{2}{3} * \frac{3}{2} = 1[/tex], so we have:
[tex]1(\frac{7}{3}x + 1) = 1[/tex] or [tex]\frac{7}{3}x + 1= 1[/tex]
Next, we can subtract 1 from both sides to further simplify the left side:
[tex]\frac{7}{3}x + 1 - 1= 1 - 1\\\frac{7}{3}x=0[/tex]
Finally, we can multiply by the reciprocal of [tex]\frac{7}{3}[/tex] on both sides in order to isolate x on the left. Anything multiplied by 0 = 0, so now we have:
x = 0
