Solve 7x − 13 = −69

The solution of 7x − 13 = −69 is x = -8.

7x - 13 = -69\ \Rightarrow\ x = -8

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The lines y = 7x − 13 and y = -69 meet at x = -8. 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.
$7x - 13 = -69$
2
Add 13 to both sides:
$7x - 13 + 13 = -69 + 13 \ \Rightarrow\ 7x = -56$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$7\cdot(-8) - 13 = -56 - 13 = -69 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 13 = -69\ \Rightarrow\ x = -8 \]
\[ 7x - 13 = -69 \]
\[ 7x - 13 + 13 = -69 + 13 \ \Rightarrow\ 7x = -56 \]
\[ \frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8 \]
\[ 7\cdot(-8) - 13 = -56 - 13 = -69 \checkmark \]

Trying values of x in 7x − 13 = −69

x	7x − 13	Equals -69?
-10	-83	no
-9	-76	no
-8	-69	yes
-7	-62	no
-6	-55	no

Questions

What is x in 7x − 13 = −69?

The solution of 7x − 13 = −69 is x = -8.

How do you solve 7x − 13 = −69?

Add 13 to both sides to get 7x = -56, then divide both sides by 7 to get x = -8.

How do I check the answer?

Replace x by -8: 7(-8) − 13 = -69, which is -69.

Solve 7x − 13 = −69

How to work it out

Trying values of x in 7x − 13 = −69

Questions

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