Solve 3x − 6 = 0
Linear equation, worked out line by line the way a teacher would write it.
Answer
| Solution | x = 2 |
Step-by-step solution
5 steps-
1 Given3 x - 6 = 0
Solve for x.
-
2 Add 6 to both sides
An equation stays true as long as you do the same thing to both sides, like adding the same weight to both pans of a balance. Adding or subtracting the same amount on both sides moves a term to the other side, where it appears with the opposite sign.
3 x = 6Move the constant terms to the right.
-
3 Divide both sides by 3
Dividing both sides by 3 undoes the multiplication by 3, so the variable is left on its own. Both sides change in the same way, so the equation stays true (dividing by 0 is the one thing that is never allowed).
x = \frac{6}{3} -
4 Simplifyx = 2
-
5 Check\begin{aligned}x = 2:\quad 0 = 0\quad\checkmark\end{aligned}
Substituting each solution back makes both sides equal.
Check by substitution
| x | Left side | Right side | |
|---|---|---|---|
| 2 | 0 | 0 | ✓ |
Open this problem in the solver
Change a number or try your own problem: the solver works it out the same way, with a graph and hint mode.