Respuesta :
Answer:
[tex]x=\frac{30}{7}[/tex]
Step-by-step explanation:
We have been given an equation [tex]\frac{2}{3}x=-\frac{1}{2}x+5[/tex]. We are asked to solve our given equation.
First of all, we will add [tex]\frac{1}{2}x[/tex] on both sides of equation to separate x variable on one side of equation.
[tex]\frac{2}{3}x+\frac{1}{2}x=-\frac{1}{2}x+\frac{1}{2}x+5[/tex]
[tex]\frac{2}{3}x+\frac{1}{2}x=5[/tex]
Now, we will make a common denominator.
[tex]\frac{2*2}{3*2}x+\frac{1*3}{2*3}x=5[/tex]
[tex]\frac{4}{6}x+\frac{3}{6}x=5[/tex]
Add numerators:
[tex]\frac{4+3}{6}x=5[/tex]
[tex]\frac{7}{6}x=5[/tex]
Upon multiply both sides of our equation by [tex]\frac{6}{7}[/tex], we will get:
[tex]\frac{6}{7}*\frac{7}{6}x=5*\frac{6}{7}[/tex]
[tex]x=\frac{5*6}{7}[/tex]
[tex]x=\frac{30}{7}[/tex]
Therefore, the solution for our given equation is [tex]x=\frac{30}{7}[/tex].
Answer: 30/7
Step-by-step explanation: credit to the person above or below me got it right on edge
