Solve 6x + 1 = 3x + 19
Linear equation, worked out line by line the way a teacher would write it.
Answer
| Solution | x = 6 |
Step-by-step solution
6 steps-
1 Given6 x + 1 = 3 x + 19
Solve for x.
-
2 Subtract 3x from 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 + 1 = 19Collect every term containing x on the left.
-
3 Subtract 1 from both sides3 x = 18
Move the constant terms to the right.
-
4 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{18}{3} -
5 Simplifyx = 6
-
6 Check\begin{aligned}x = 6:\quad 37 = 37\quad\checkmark\end{aligned}
Substituting each solution back makes both sides equal.
Check by substitution
| x | Left side | Right side | |
|---|---|---|---|
| 6 | 37 | 37 | ✓ |
Change a number or try your own problem: the solver works it out the same way, with a graph and hint mode.