When working with linear equations with one variable, you always want to isolate the variable. To start off, we will combine the like terms. -1x+5=4x-3 Next we will add 1x to both sides to move it to the right side and cancel it out on the left. 5=5x-3 Then we will add three to both sides for the same reason. 8=5x We will then divide 5 from both sides. 8/5=x x=8/5 or 1 3/5