#color(blue)("Using shortcut methods")#
#(m+3)/4=(m-5)/7 larr" Cross multiply giving:"#
#color(white)(.)#
#7(m+3)=4(m-5) larr" Multiply out the brackets giving:"#
#color(white)(.)#
#7m+21=4m-20 larr" Collecting like terms giving:"#
#7m-4m=-21-20#
#3m=-41 larr" divide both sides by 3 giving:"#
#color(white)(.)#
#color(white)(.)#
#m=-41/3#