Question

Use the multiplication principle of equality to eliminate fractions, then solve for x

3/4x-3/10=1/4+6/5x

Answer 1

`(3)/(4)x- (3)/(10)= (1)/(4)+ (6)/(5)x\ \ | \ multiply \ each \ term \ by \ 20\\\\5*3x-2*3=5+4*6x\\\\15x-6=5+24x\ \ |\ subtract\ 24x\ to\ both\ sides \\\\ 15x-24x-6=5 \ \ | \ add\ 6\ to\ both\ sides \\\\15x-24x =5+6 \\\\-9x =11\ \ | \ divide \ both \ sides\ by\ (-9) \\\\x=-(11)/(9)`