11. Start by simplifying the left side of the equation.
5x+15+4x-3=-2x+4+25x+15+4x−3=−2x+4+2
9x+12=-2x+69x+12=−2x+6
22. Add 2x2x to both sides of the equation to get rid of -2x−2x on the right side of the equation so that all terms with the variable, xx, are on the left side of the equation.
9x9x color(red)(+2x)+12=-2x+2x+12=−2x color(red)(+2x)+6+2x+6
11x+12=color(darkorange)0+611x+12=0+6
11x+12=611x+12=6
33. Subtract 1212 from both sides of the equation to get rid of 1212 on the left side of the equation so that all constant terms are on the right side of the equation.
11x+1211x+12 color(red)(-12)=6−12=6 color(red)(-12)−12
11x+color(darkorange)0=-611x+0=−6
11x=-611x=−6
44. Divide both sides by 11 to isolate for xx.
color(red)((color(black)(11x))/11)=color(red)(color(black)(-6)/11)11x11=−611
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)|)))
