Solve 5x − 11 = −61

The solution of 5x − 11 = −61 is x = -10.

5x - 11 = -61\ \Rightarrow\ x = -10

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The lines y = 5x − 11 and y = -61 meet at x = -10. 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.
$5x - 11 = -61$
2
Add 11 to both sides:
$5x - 11 + 11 = -61 + 11 \ \Rightarrow\ 5x = -50$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-50}{5} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$5\cdot(-10) - 11 = -50 - 11 = -61 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 11 = -61\ \Rightarrow\ x = -10 \]
\[ 5x - 11 = -61 \]
\[ 5x - 11 + 11 = -61 + 11 \ \Rightarrow\ 5x = -50 \]
\[ \frac{5x}{5} = \frac{-50}{5} \ \Rightarrow\ x = -10 \]
\[ 5\cdot(-10) - 11 = -50 - 11 = -61 \checkmark \]

Trying values of x in 5x − 11 = −61

x	5x − 11	Equals -61?
-12	-71	no
-11	-66	no
-10	-61	yes
-9	-56	no
-8	-51	no

Questions

What is x in 5x − 11 = −61?

The solution of 5x − 11 = −61 is x = -10.

How do you solve 5x − 11 = −61?

Add 11 to both sides to get 5x = -50, then divide both sides by 5 to get x = -10.

How do I check the answer?

Replace x by -10: 5(-10) − 11 = -61, which is -61.

Solve 5x − 11 = −61

How to work it out

Trying values of x in 5x − 11 = −61

Questions

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