Solve 5x − 13 = −58

The solution of 5x − 13 = −58 is x = -9.

5x - 13 = -58\ \Rightarrow\ x = -9

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

The lines y = 5x − 13 and y = -58 meet at x = -9. 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.
$5x - 13 = -58$
2
Add 13 to both sides:
$5x - 13 + 13 = -58 + 13 \ \Rightarrow\ 5x = -45$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-45}{5} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$5\cdot(-9) - 13 = -45 - 13 = -58 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 13 = -58\ \Rightarrow\ x = -9 \]
\[ 5x - 13 = -58 \]
\[ 5x - 13 + 13 = -58 + 13 \ \Rightarrow\ 5x = -45 \]
\[ \frac{5x}{5} = \frac{-45}{5} \ \Rightarrow\ x = -9 \]
\[ 5\cdot(-9) - 13 = -45 - 13 = -58 \checkmark \]

Trying values of x in 5x − 13 = −58

x	5x − 13	Equals -58?
-11	-68	no
-10	-63	no
-9	-58	yes
-8	-53	no
-7	-48	no

Questions

What is x in 5x − 13 = −58?

The solution of 5x − 13 = −58 is x = -9.

How do you solve 5x − 13 = −58?

Add 13 to both sides to get 5x = -45, then divide both sides by 5 to get x = -9.

How do I check the answer?

Replace x by -9: 5(-9) − 13 = -58, which is -58.

Solve 5x − 13 = −58

How to work it out

Trying values of x in 5x − 13 = −58

Questions

Similar equations