Solving two-step linear equations: ax + b = c, x/a + b = c

Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

  1. How to turn a word problem into an equation?
    • ex. 1: "revenue" problem
    • ex. 2: "area" problem
  1. Solve.
    1. 45+54x=13\frac{4}{5} + \frac{5}{4}x = \frac{1}{3}
    2. 34+2x=513\frac{3}{4} + 2x = 5\frac{1}{3}
    3. 23x2=47\frac{2}{3} - \frac{x}{2} = \frac{4}{7}
    4. 334=614+18x - 3\frac{3}{4} = - 6\frac{1}{4} + \frac{1}{8}x
  2. Solve.
    1. 0.05x2.6=0.03 - 0.05 - \frac{x}{{2.6}} = - 0.03
    2. x2.14+0.86=6.32\frac{x}{{ - 2.14}} + 0.86 = 6.32
  3. Solve.
    1. 3.07=0.3x4.63.07 = 0.3x - 4.6
    2. 79=78x9\frac{7}{9} = \frac{7}{8} - \frac{x}{9}
    3. 1.8=4.5+x2.3 - 1.8 = 4.5 + \frac{x}{{2.3}}
    4. 313+219v=493\frac{1}{3} + 2\frac{1}{9}v = - \frac{4}{9}
  4. The number of hours Peter exercised in May is 3.5 hours less than one fourth of the number of hours John exercised in the same month. Peter had 15.8 hours of exercise in May. How many hours of exercise did John have in May?
    Topic Notes
    Solving two-step linear equations literally means solving the equations in two major steps. First, we need to isolate the unknown "x" to one side of the equation. You can then solve the "x". To complete these two steps, you may need to perform addition, subtraction, division, multiplication, cross multiplication, and so on. When the equation has fractions, you may also need to find the common denominator before proceeding further. Seems complicated? No worries! You will learn all the tricks in this section.