Solve 7x − 13 = −41

The solution of 7x − 13 = −41 is x = -4.

7x - 13 = -41\ \Rightarrow\ x = -4

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

The lines y = 7x − 13 and y = -41 meet at x = -4. 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.
$7x - 13 = -41$
2
Add 13 to both sides:
$7x - 13 + 13 = -41 + 13 \ \Rightarrow\ 7x = -28$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-28}{7} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$7\cdot(-4) - 13 = -28 - 13 = -41 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 13 = -41\ \Rightarrow\ x = -4 \]
\[ 7x - 13 = -41 \]
\[ 7x - 13 + 13 = -41 + 13 \ \Rightarrow\ 7x = -28 \]
\[ \frac{7x}{7} = \frac{-28}{7} \ \Rightarrow\ x = -4 \]
\[ 7\cdot(-4) - 13 = -28 - 13 = -41 \checkmark \]

Trying values of x in 7x − 13 = −41

x	7x − 13	Equals -41?
-6	-55	no
-5	-48	no
-4	-41	yes
-3	-34	no
-2	-27	no

Questions

What is x in 7x − 13 = −41?

The solution of 7x − 13 = −41 is x = -4.

How do you solve 7x − 13 = −41?

Add 13 to both sides to get 7x = -28, then divide both sides by 7 to get x = -4.

How do I check the answer?

Replace x by -4: 7(-4) − 13 = -41, which is -41.

Solve 7x − 13 = −41

How to work it out

Trying values of x in 7x − 13 = −41

Questions

Similar equations