Solve 11x − 6 = −61

The solution of 11x − 6 = −61 is x = -5.

11x - 6 = -61\ \Rightarrow\ x = -5

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The lines y = 11x − 6 and y = -61 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.
$11x - 6 = -61$
2
Add 6 to both sides:
$11x - 6 + 6 = -61 + 6 \ \Rightarrow\ 11x = -55$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$11\cdot(-5) - 6 = -55 - 6 = -61 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 6 = -61\ \Rightarrow\ x = -5 \]
\[ 11x - 6 = -61 \]
\[ 11x - 6 + 6 = -61 + 6 \ \Rightarrow\ 11x = -55 \]
\[ \frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5 \]
\[ 11\cdot(-5) - 6 = -55 - 6 = -61 \checkmark \]

Trying values of x in 11x − 6 = −61

x	11x − 6	Equals -61?
-7	-83	no
-6	-72	no
-5	-61	yes
-4	-50	no
-3	-39	no

Questions

What is x in 11x − 6 = −61?

The solution of 11x − 6 = −61 is x = -5.

How do you solve 11x − 6 = −61?

Add 6 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) − 6 = -61, which is -61.

Solve 11x − 6 = −61

How to work it out

Trying values of x in 11x − 6 = −61

Questions

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