Answer: [tex]x=\frac{3}{7}[/tex]
Step-by-step explanation:
Cancel terms that are in both the numerator and denominator
[tex]\frac{2x}{x } + 4=\frac{3}x} -1\\\frac{2}{1} + 4=\frac{3}{x}-1[/tex]
Add the numbers
[tex]2+4=\frac{3}{x} -1\\6=\frac{3}{x} -1[/tex]
Add 1 to both sides of the equation
[tex]6=\frac{3}{x} -1\\6+1=\frac{3}{x} -1+1[/tex]
Simplify
[tex]7=\frac{3}{x}[/tex]
Multiply all terms by the same value to eliminate fraction denominators[tex]7=\frac{3}{x} \\x.7=x.\frac{3}{x}[/tex]
simply
[tex]7x=3[/tex]
Divide both sides of the equation by the same term
[tex]7x=3\\\frac{7x}{7} =\frac{3}{7}[/tex]
cancel term that are in both the numerator and denominator
[tex]\frac{7x}{7} =\frac{3}{7} \\x=\frac{3}{7} \\= x =\frac{3}{7}[/tex]
simply
[tex]x=\frac{3}{7}[/tex]
i hope it helps po
