Solve 12x − 13 = −37

The solution of 12x − 13 = −37 is x = -2.

12x - 13 = -37\ \Rightarrow\ x = -2

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The lines y = 12x − 13 and y = -37 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.
$12x - 13 = -37$
2
Add 13 to both sides:
$12x - 13 + 13 = -37 + 13 \ \Rightarrow\ 12x = -24$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-24}{12} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$12\cdot(-2) - 13 = -24 - 13 = -37 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 13 = -37\ \Rightarrow\ x = -2 \]
\[ 12x - 13 = -37 \]
\[ 12x - 13 + 13 = -37 + 13 \ \Rightarrow\ 12x = -24 \]
\[ \frac{12x}{12} = \frac{-24}{12} \ \Rightarrow\ x = -2 \]
\[ 12\cdot(-2) - 13 = -24 - 13 = -37 \checkmark \]

Trying values of x in 12x − 13 = −37

x	12x − 13	Equals -37?
-4	-61	no
-3	-49	no
-2	-37	yes
-1	-25	no
0	-13	no

Questions

What is x in 12x − 13 = −37?

The solution of 12x − 13 = −37 is x = -2.

How do you solve 12x − 13 = −37?

Add 13 to 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) − 13 = -37, which is -37.

Solve 12x − 13 = −37

How to work it out

Trying values of x in 12x − 13 = −37

Questions

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