Solve 3x − 13 = −13

The solution of 3x − 13 = −13 is x = 0.

3x - 13 = -13\ \Rightarrow\ x = 0

Explain it step by step in chat Make a short video of it

The lines y = 3x − 13 and y = -13 meet at x = 0. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

1
The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.
$3x - 13 = -13$
2
Add 13 to both sides:
$3x - 13 + 13 = -13 + 13 \ \Rightarrow\ 3x = 0$
3
Divide both sides by 3:
$\frac{3x}{3} = \frac{0}{3} \ \Rightarrow\ x = 0$
4
Check: put x = 0 back into the equation.
$3\cdot0 - 13 = 0 - 13 = -13 \checkmark$

LaTeX source of the formulas on this page

\[ 3x - 13 = -13\ \Rightarrow\ x = 0 \]
\[ 3x - 13 = -13 \]
\[ 3x - 13 + 13 = -13 + 13 \ \Rightarrow\ 3x = 0 \]
\[ \frac{3x}{3} = \frac{0}{3} \ \Rightarrow\ x = 0 \]
\[ 3\cdot0 - 13 = 0 - 13 = -13 \checkmark \]

Trying values of x in 3x − 13 = −13

x	3x − 13	Equals -13?
-2	-19	no
-1	-16	no
0	-13	yes
1	-10	no
2	-7	no

Questions

What is x in 3x − 13 = −13?

The solution of 3x − 13 = −13 is x = 0.

How do you solve 3x − 13 = −13?

Add 13 to both sides to get 3x = 0, then divide both sides by 3 to get x = 0.

How do I check the answer?

Replace x by 0: 3(0) − 13 = -13, which is -13.

Solve 3x − 13 = −13

How to work it out

Trying values of x in 3x − 13 = −13

Questions

Similar equations