Solve 11x − 12 = −23

The solution of 11x − 12 = −23 is x = -1.

11x - 12 = -23\ \Rightarrow\ x = -1

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The lines y = 11x − 12 and y = -23 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.
$11x - 12 = -23$
2
Add 12 to both sides:
$11x - 12 + 12 = -23 + 12 \ \Rightarrow\ 11x = -11$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$11\cdot(-1) - 12 = -11 - 12 = -23 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 12 = -23\ \Rightarrow\ x = -1 \]
\[ 11x - 12 = -23 \]
\[ 11x - 12 + 12 = -23 + 12 \ \Rightarrow\ 11x = -11 \]
\[ \frac{11x}{11} = \frac{-11}{11} \ \Rightarrow\ x = -1 \]
\[ 11\cdot(-1) - 12 = -11 - 12 = -23 \checkmark \]

Trying values of x in 11x − 12 = −23

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

Questions

What is x in 11x − 12 = −23?

The solution of 11x − 12 = −23 is x = -1.

How do you solve 11x − 12 = −23?

Add 12 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) − 12 = -23, which is -23.

Solve 11x − 12 = −23

How to work it out

Trying values of x in 11x − 12 = −23

Questions

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