Solve 11x − 1 = −45

The solution of 11x − 1 = −45 is x = -4.

11x - 1 = -45\ \Rightarrow\ x = -4

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The lines y = 11x − 1 and y = -45 meet at x = -4. 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.
$11x - 1 = -45$
2
Add 1 to both sides:
$11x - 1 + 1 = -45 + 1 \ \Rightarrow\ 11x = -44$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$11\cdot(-4) - 1 = -44 - 1 = -45 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 1 = -45\ \Rightarrow\ x = -4 \]
\[ 11x - 1 = -45 \]
\[ 11x - 1 + 1 = -45 + 1 \ \Rightarrow\ 11x = -44 \]
\[ \frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4 \]
\[ 11\cdot(-4) - 1 = -44 - 1 = -45 \checkmark \]

Trying values of x in 11x − 1 = −45

x	11x − 1	Equals -45?
-6	-67	no
-5	-56	no
-4	-45	yes
-3	-34	no
-2	-23	no

Questions

What is x in 11x − 1 = −45?

The solution of 11x − 1 = −45 is x = -4.

How do you solve 11x − 1 = −45?

Add 1 to both sides to get 11x = -44, then divide both sides by 11 to get x = -4.

How do I check the answer?

Replace x by -4: 11(-4) − 1 = -45, which is -45.

Solve 11x − 1 = −45

How to work it out

Trying values of x in 11x − 1 = −45

Questions

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