Solve 11x − 7 = −95

The solution of 11x − 7 = −95 is x = -8.

11x - 7 = -95\ \Rightarrow\ x = -8

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

The lines y = 11x − 7 and y = -95 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.
$11x - 7 = -95$
2
Add 7 to both sides:
$11x - 7 + 7 = -95 + 7 \ \Rightarrow\ 11x = -88$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8$
4
Check: put x = -8 back into the equation.
$11\cdot(-8) - 7 = -88 - 7 = -95 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 7 = -95\ \Rightarrow\ x = -8 \]
\[ 11x - 7 = -95 \]
\[ 11x - 7 + 7 = -95 + 7 \ \Rightarrow\ 11x = -88 \]
\[ \frac{11x}{11} = \frac{-88}{11} \ \Rightarrow\ x = -8 \]
\[ 11\cdot(-8) - 7 = -88 - 7 = -95 \checkmark \]

Trying values of x in 11x − 7 = −95

x	11x − 7	Equals -95?
-10	-117	no
-9	-106	no
-8	-95	yes
-7	-84	no
-6	-73	no

Questions

What is x in 11x − 7 = −95?

The solution of 11x − 7 = −95 is x = -8.

How do you solve 11x − 7 = −95?

Add 7 to both sides to get 11x = -88, then divide both sides by 11 to get x = -8.

How do I check the answer?

Replace x by -8: 11(-8) − 7 = -95, which is -95.

Solve 11x − 7 = −95

How to work it out

Trying values of x in 11x − 7 = −95

Questions

Similar equations