Solving linear equations with variables on both sides

All in One Place

Everything you need for JC, LC, and college level maths and science classes.

Learn with Ease

We’ve mastered the national curriculum so that you can revise with confidence.

Instant Help

24/7 access to the best tips, walkthroughs, and practice exercises available.

0/1
?
Intros
Lessons
  1. How to turn a word problem into an equation?
    • ex. 1: "revenue" problem
    • ex. 2: "area" problem
0/11
?
Examples
Lessons
  1. Find the solution.
    1. −3.4x=6.3−3.7x - 3.4x = 6.3 - 3.7x
    2. 37+57x=13x\frac{3}{7} + \frac{5}{7}x = \frac{1}{3}x
    3. 0.42x=−0.3x−2.670.42x = - 0.3x - 2.67
    4. 56(x+3)=12x\frac{5}{6}\left( {x + 3} \right) = \frac{1}{2}x
    5. 238x=14(2−x)2\frac{3}{8}x = \frac{1}{4}\left( {2 - x} \right)
  2. Solve.
    1. 3.61+0.25x=0.11−1.23x3.61 + 0.25x = 0.11 - 1.23x
    2. 20.13−11.6x=3.7+15.2x20.13 - 11.6x = 3.7 + 15.2x
    3. −56x+3=2−16x - \frac{5}{6}x + 3 = 2 - \frac{1}{6}x
    4. 212x−72=314x+342\frac{1}{2}x - \frac{7}{2} = 3\frac{1}{4}x + \frac{3}{4}
  3. Yesterday, Mary biked to school from home at 9 km/h. Today, she walked to school from home at 3.75 km/h. It took her 37 minutes to go to school on both days altogether.
    1. How long did it take Mary to bike to school?
    2. How far is Mary's home to school?
Topic Notes
?
When you want to solve a linear equation with variables on both sides, the first step is to isolate the variables to one side. Once you have done that, we can do subtraction, addition, cross multiplication, or any other necessary steps to solve the equation.