Solve 10x − 11 = −61

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 10x − 11 = −61

x	10x − 11	Equals -61?
-7	-81	no
-6	-71	no
-5	-61	yes
-4	-51	no
-3	-41	no

Questions

What is x in 10x − 11 = −61?

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

How do you solve 10x − 11 = −61?

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

How do I check the answer?

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

Solve 10x − 11 = −61

How to work it out

Trying values of x in 10x − 11 = −61

Questions

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