Solve 11x − 4 = −26

The solution of 11x − 4 = −26 is x = -2.

11x - 4 = -26\ \Rightarrow\ x = -2

Explain it step by step in chat Make a short video of it

The lines y = 11x − 4 and y = -26 meet at x = -2. 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.
$11x - 4 = -26$
2
Add 4 to both sides:
$11x - 4 + 4 = -26 + 4 \ \Rightarrow\ 11x = -22$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-22}{11} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$11\cdot(-2) - 4 = -22 - 4 = -26 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 4 = -26\ \Rightarrow\ x = -2 \]
\[ 11x - 4 = -26 \]
\[ 11x - 4 + 4 = -26 + 4 \ \Rightarrow\ 11x = -22 \]
\[ \frac{11x}{11} = \frac{-22}{11} \ \Rightarrow\ x = -2 \]
\[ 11\cdot(-2) - 4 = -22 - 4 = -26 \checkmark \]

Trying values of x in 11x − 4 = −26

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

Questions

What is x in 11x − 4 = −26?

The solution of 11x − 4 = −26 is x = -2.

How do you solve 11x − 4 = −26?

Add 4 to both sides to get 11x = -22, then divide both sides by 11 to get x = -2.

How do I check the answer?

Replace x by -2: 11(-2) − 4 = -26, which is -26.

Solve 11x − 4 = −26

How to work it out

Trying values of x in 11x − 4 = −26

Questions

Similar equations