Solve 7x − 11 = −67

The solution of 7x − 11 = −67 is x = -8.

7x - 11 = -67\ \Rightarrow\ x = -8

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The lines y = 7x − 11 and y = -67 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.
$7x - 11 = -67$
2
Add 11 to both sides:
$7x - 11 + 11 = -67 + 11 \ \Rightarrow\ 7x = -56$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$7\cdot(-8) - 11 = -56 - 11 = -67 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 11 = -67\ \Rightarrow\ x = -8 \]
\[ 7x - 11 = -67 \]
\[ 7x - 11 + 11 = -67 + 11 \ \Rightarrow\ 7x = -56 \]
\[ \frac{7x}{7} = \frac{-56}{7} \ \Rightarrow\ x = -8 \]
\[ 7\cdot(-8) - 11 = -56 - 11 = -67 \checkmark \]

Trying values of x in 7x − 11 = −67

x	7x − 11	Equals -67?
-10	-81	no
-9	-74	no
-8	-67	yes
-7	-60	no
-6	-53	no

Questions

What is x in 7x − 11 = −67?

The solution of 7x − 11 = −67 is x = -8.

How do you solve 7x − 11 = −67?

Add 11 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) − 11 = -67, which is -67.

Solve 7x − 11 = −67

How to work it out

Trying values of x in 7x − 11 = −67

Questions

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