#1#. Start by simplifying the left side of the equation.
#5x+15+4x-3=-2x+4+2#
#9x+12=-2x+6#
#2#. Add #2x# to both sides of the equation to get rid of #-2x# on the right side of the equation so that all terms with the variable, #x#, are on the left side of the equation.
#9x# #color(red)(+2x)+12=-2x# #color(red)(+2x)+6#
#11x+12=color(darkorange)0+6#
#11x+12=6#
#3#. Subtract #12# from both sides of the equation to get rid of #12# on the left side of the equation so that all constant terms are on the right side of the equation.
#11x+12# #color(red)(-12)=6# #color(red)(-12)#
#11x+color(darkorange)0=-6#
#11x=-6#
#4#. Divide both sides by 11 to isolate for #x#.
#color(red)((color(black)(11x))/11)=color(red)(color(black)(-6)/11)#
#color(red)((color(blue)cancelcolor(black)(11)color(black)x)/color(blue)cancelcolor(red)(11)color(black)=color(red)(color(black)(-6)/11)#
#color(green)(|bar(ul(color(white)(a/a)x=-6/11color(white)(a/a)|)))#
