Solve 6x − 13 = −49

The solution of 6x − 13 = −49 is x = -6.

6x - 13 = -49\ \Rightarrow\ x = -6

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

The lines y = 6x − 13 and y = -49 meet at x = -6. 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.
$6x - 13 = -49$
2
Add 13 to both sides:
$6x - 13 + 13 = -49 + 13 \ \Rightarrow\ 6x = -36$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-36}{6} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$6\cdot(-6) - 13 = -36 - 13 = -49 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 13 = -49\ \Rightarrow\ x = -6 \]
\[ 6x - 13 = -49 \]
\[ 6x - 13 + 13 = -49 + 13 \ \Rightarrow\ 6x = -36 \]
\[ \frac{6x}{6} = \frac{-36}{6} \ \Rightarrow\ x = -6 \]
\[ 6\cdot(-6) - 13 = -36 - 13 = -49 \checkmark \]

Trying values of x in 6x − 13 = −49

x	6x − 13	Equals -49?
-8	-61	no
-7	-55	no
-6	-49	yes
-5	-43	no
-4	-37	no

Questions

What is x in 6x − 13 = −49?

The solution of 6x − 13 = −49 is x = -6.

How do you solve 6x − 13 = −49?

Add 13 to both sides to get 6x = -36, then divide both sides by 6 to get x = -6.

How do I check the answer?

Replace x by -6: 6(-6) − 13 = -49, which is -49.

Solve 6x − 13 = −49

How to work it out

Trying values of x in 6x − 13 = −49

Questions

Similar equations