Solve 11x − 7 = −40

The solution of 11x − 7 = −40 is x = -3.

11x - 7 = -40\ \Rightarrow\ x = -3

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The lines y = 11x − 7 and y = -40 meet at x = -3. 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.
$11x - 7 = -40$
2
Add 7 to both sides:
$11x - 7 + 7 = -40 + 7 \ \Rightarrow\ 11x = -33$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$11\cdot(-3) - 7 = -33 - 7 = -40 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 7 = -40\ \Rightarrow\ x = -3 \]
\[ 11x - 7 = -40 \]
\[ 11x - 7 + 7 = -40 + 7 \ \Rightarrow\ 11x = -33 \]
\[ \frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3 \]
\[ 11\cdot(-3) - 7 = -33 - 7 = -40 \checkmark \]

Trying values of x in 11x − 7 = −40

x	11x − 7	Equals -40?
-5	-62	no
-4	-51	no
-3	-40	yes
-2	-29	no
-1	-18	no

Questions

What is x in 11x − 7 = −40?

The solution of 11x − 7 = −40 is x = -3.

How do you solve 11x − 7 = −40?

Add 7 to both sides to get 11x = -33, then divide both sides by 11 to get x = -3.

How do I check the answer?

Replace x by -3: 11(-3) − 7 = -40, which is -40.

Solve 11x − 7 = −40

How to work it out

Trying values of x in 11x − 7 = −40

Questions

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