Solve 12x + 1 = −23

The solution of 12x + 1 = −23 is x = -2.

12x + 1 = -23\ \Rightarrow\ x = -2

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The lines y = 12x + 1 and y = -23 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 addition, then the multiplication.
$12x + 1 = -23$
2
Subtract 1 from both sides:
$12x + 1 - 1 = -23 - 1 \ \Rightarrow\ 12x = -24$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-24}{12} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$12\cdot(-2) + 1 = -24 + 1 = -23 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 1 = -23\ \Rightarrow\ x = -2 \]
\[ 12x + 1 = -23 \]
\[ 12x + 1 - 1 = -23 - 1 \ \Rightarrow\ 12x = -24 \]
\[ \frac{12x}{12} = \frac{-24}{12} \ \Rightarrow\ x = -2 \]
\[ 12\cdot(-2) + 1 = -24 + 1 = -23 \checkmark \]

Trying values of x in 12x + 1 = −23

x	12x + 1	Equals -23?
-4	-47	no
-3	-35	no
-2	-23	yes
-1	-11	no
0	1	no

Questions

What is x in 12x + 1 = −23?

The solution of 12x + 1 = −23 is x = -2.

How do you solve 12x + 1 = −23?

Subtract 1 from both sides to get 12x = -24, then divide both sides by 12 to get x = -2.

How do I check the answer?

Replace x by -2: 12(-2) + 1 = -23, which is -23.

Solve 12x + 1 = −23

How to work it out

Trying values of x in 12x + 1 = −23

Questions

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