[tex]\frac{5}{2}x-7=\frac{3}{4}x+14[/tex]
[tex]\frac{5x}{2}-7=\frac{3}{4}x+14\\\\\frac{5x}{2}-7=\frac{3x}{4}+14[/tex]
10x−28=3x+56
10x=3x+56+28
10x=3x+84
10x−3x=84
7x=84
[tex]x=\frac{84}{7}[/tex]
x=12
Hope this helps, have a blessed and wonderful day!