Solve 2x − 13 = −15

The solution of 2x − 13 = −15 is x = -1.

2x - 13 = -15\ \Rightarrow\ x = -1

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

The lines y = 2x − 13 and y = -15 meet at x = -1. 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.
$2x - 13 = -15$
2
Add 13 to both sides:
$2x - 13 + 13 = -15 + 13 \ \Rightarrow\ 2x = -2$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{-2}{2} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$2\cdot(-1) - 13 = -2 - 13 = -15 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 13 = -15\ \Rightarrow\ x = -1 \]
\[ 2x - 13 = -15 \]
\[ 2x - 13 + 13 = -15 + 13 \ \Rightarrow\ 2x = -2 \]
\[ \frac{2x}{2} = \frac{-2}{2} \ \Rightarrow\ x = -1 \]
\[ 2\cdot(-1) - 13 = -2 - 13 = -15 \checkmark \]

Trying values of x in 2x − 13 = −15

x	2x − 13	Equals -15?
-3	-19	no
-2	-17	no
-1	-15	yes
0	-13	no
1	-11	no

Questions

What is x in 2x − 13 = −15?

The solution of 2x − 13 = −15 is x = -1.

How do you solve 2x − 13 = −15?

Add 13 to both sides to get 2x = -2, then divide both sides by 2 to get x = -1.

How do I check the answer?

Replace x by -1: 2(-1) − 13 = -15, which is -15.

Solve 2x − 13 = −15

How to work it out

Trying values of x in 2x − 13 = −15

Questions

Similar equations