Solve 11x − 15 = −26

The solution of 11x − 15 = −26 is x = -1.

11x - 15 = -26\ \Rightarrow\ x = -1

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The lines y = 11x − 15 and y = -26 meet at x = -1. 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.
$11x - 15 = -26$
2
Add 15 to both sides:
$11x - 15 + 15 = -26 + 15 \ \Rightarrow\ 11x = -11$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$11\cdot(-1) - 15 = -11 - 15 = -26 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 15 = -26\ \Rightarrow\ x = -1 \]
\[ 11x - 15 = -26 \]
\[ 11x - 15 + 15 = -26 + 15 \ \Rightarrow\ 11x = -11 \]
\[ \frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1 \]
\[ 11\cdot(-1) - 15 = -11 - 15 = -26 \checkmark \]

Trying values of x in 11x − 15 = −26

x	11x − 15	Equals -26?
-3	-48	no
-2	-37	no
-1	-26	yes
0	-15	no
1	-4	no

Questions

What is x in 11x − 15 = −26?

The solution of 11x − 15 = −26 is x = -1.

How do you solve 11x − 15 = −26?

Add 15 to both sides to get 11x = -11, then divide both sides by 11 to get x = -1.

How do I check the answer?

Replace x by -1: 11(-1) − 15 = -26, which is -26.

Solve 11x − 15 = −26

How to work it out

Trying values of x in 11x − 15 = −26

Questions

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