Solve 7x − 6 = −69

The solution of 7x − 6 = −69 is x = -9.

7x - 6 = -69\ \Rightarrow\ x = -9

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

The lines y = 7x − 6 and y = -69 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.
$7x - 6 = -69$
2
Add 6 to both sides:
$7x - 6 + 6 = -69 + 6 \ \Rightarrow\ 7x = -63$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-63}{7} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$7\cdot(-9) - 6 = -63 - 6 = -69 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 6 = -69\ \Rightarrow\ x = -9 \]
\[ 7x - 6 = -69 \]
\[ 7x - 6 + 6 = -69 + 6 \ \Rightarrow\ 7x = -63 \]
\[ \frac{7x}{7} = \frac{-63}{7} \ \Rightarrow\ x = -9 \]
\[ 7\cdot(-9) - 6 = -63 - 6 = -69 \checkmark \]

Trying values of x in 7x − 6 = −69

x	7x − 6	Equals -69?
-11	-83	no
-10	-76	no
-9	-69	yes
-8	-62	no
-7	-55	no

Questions

What is x in 7x − 6 = −69?

The solution of 7x − 6 = −69 is x = -9.

How do you solve 7x − 6 = −69?

Add 6 to both sides to get 7x = -63, then divide both sides by 7 to get x = -9.

How do I check the answer?

Replace x by -9: 7(-9) − 6 = -69, which is -69.

Solve 7x − 6 = −69

How to work it out

Trying values of x in 7x − 6 = −69

Questions

Similar equations