Solve 11x − 12 = −34

The solution of 11x − 12 = −34 is x = -2.

11x - 12 = -34\ \Rightarrow\ x = -2

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

The lines y = 11x − 12 and y = -34 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.
$11x - 12 = -34$
2
Add 12 to both sides:
$11x - 12 + 12 = -34 + 12 \ \Rightarrow\ 11x = -22$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-22}{11} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$11\cdot(-2) - 12 = -22 - 12 = -34 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 12 = -34\ \Rightarrow\ x = -2 \]
\[ 11x - 12 = -34 \]
\[ 11x - 12 + 12 = -34 + 12 \ \Rightarrow\ 11x = -22 \]
\[ \frac{11x}{11} = \frac{-22}{11} \ \Rightarrow\ x = -2 \]
\[ 11\cdot(-2) - 12 = -22 - 12 = -34 \checkmark \]

Trying values of x in 11x − 12 = −34

x	11x − 12	Equals -34?
-4	-56	no
-3	-45	no
-2	-34	yes
-1	-23	no
0	-12	no

Questions

What is x in 11x − 12 = −34?

The solution of 11x − 12 = −34 is x = -2.

How do you solve 11x − 12 = −34?

Add 12 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) − 12 = -34, which is -34.

Solve 11x − 12 = −34

How to work it out

Trying values of x in 11x − 12 = −34

Questions

Similar equations