Solve 11x − 5 = −115

The solution of 11x − 5 = −115 is x = -10.

11x - 5 = -115\ \Rightarrow\ x = -10

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The lines y = 11x − 5 and y = -115 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.
$11x - 5 = -115$
2
Add 5 to both sides:
$11x - 5 + 5 = -115 + 5 \ \Rightarrow\ 11x = -110$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10$
4
Check: put x = -10 back into the equation.
$11\cdot(-10) - 5 = -110 - 5 = -115 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 5 = -115\ \Rightarrow\ x = -10 \]
\[ 11x - 5 = -115 \]
\[ 11x - 5 + 5 = -115 + 5 \ \Rightarrow\ 11x = -110 \]
\[ \frac{11x}{11} = \frac{-110}{11} \ \Rightarrow\ x = -10 \]
\[ 11\cdot(-10) - 5 = -110 - 5 = -115 \checkmark \]

Trying values of x in 11x − 5 = −115

x	11x − 5	Equals -115?
-12	-137	no
-11	-126	no
-10	-115	yes
-9	-104	no
-8	-93	no

Questions

What is x in 11x − 5 = −115?

The solution of 11x − 5 = −115 is x = -10.

How do you solve 11x − 5 = −115?

Add 5 to both sides to get 11x = -110, then divide both sides by 11 to get x = -10.

How do I check the answer?

Replace x by -10: 11(-10) − 5 = -115, which is -115.

Solve 11x − 5 = −115

How to work it out

Trying values of x in 11x − 5 = −115

Questions

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