Solve 11x − 1 = −56

The solution of 11x − 1 = −56 is x = -5.

11x - 1 = -56\ \Rightarrow\ x = -5

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The lines y = 11x − 1 and y = -56 meet at x = -5. 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.
$11x - 1 = -56$
2
Add 1 to both sides:
$11x - 1 + 1 = -56 + 1 \ \Rightarrow\ 11x = -55$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$11\cdot(-5) - 1 = -55 - 1 = -56 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 1 = -56\ \Rightarrow\ x = -5 \]
\[ 11x - 1 = -56 \]
\[ 11x - 1 + 1 = -56 + 1 \ \Rightarrow\ 11x = -55 \]
\[ \frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5 \]
\[ 11\cdot(-5) - 1 = -55 - 1 = -56 \checkmark \]

Trying values of x in 11x − 1 = −56

x	11x − 1	Equals -56?
-7	-78	no
-6	-67	no
-5	-56	yes
-4	-45	no
-3	-34	no

Questions

What is x in 11x − 1 = −56?

The solution of 11x − 1 = −56 is x = -5.

How do you solve 11x − 1 = −56?

Add 1 to both sides to get 11x = -55, then divide both sides by 11 to get x = -5.

How do I check the answer?

Replace x by -5: 11(-5) − 1 = -56, which is -56.

Solve 11x − 1 = −56

How to work it out

Trying values of x in 11x − 1 = −56

Questions

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