Solve 12x − 13 = −49

The solution of 12x − 13 = −49 is x = -3.

12x - 13 = -49\ \Rightarrow\ x = -3

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The lines y = 12x − 13 and y = -49 meet at x = -3. 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.
$12x - 13 = -49$
2
Add 13 to both sides:
$12x - 13 + 13 = -49 + 13 \ \Rightarrow\ 12x = -36$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{-36}{12} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$12\cdot(-3) - 13 = -36 - 13 = -49 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 13 = -49\ \Rightarrow\ x = -3 \]
\[ 12x - 13 = -49 \]
\[ 12x - 13 + 13 = -49 + 13 \ \Rightarrow\ 12x = -36 \]
\[ \frac{12x}{12} = \frac{-36}{12} \ \Rightarrow\ x = -3 \]
\[ 12\cdot(-3) - 13 = -36 - 13 = -49 \checkmark \]

Trying values of x in 12x − 13 = −49

x	12x − 13	Equals -49?
-5	-73	no
-4	-61	no
-3	-49	yes
-2	-37	no
-1	-25	no

Questions

What is x in 12x − 13 = −49?

The solution of 12x − 13 = −49 is x = -3.

How do you solve 12x − 13 = −49?

Add 13 to both sides to get 12x = -36, then divide both sides by 12 to get x = -3.

How do I check the answer?

Replace x by -3: 12(-3) − 13 = -49, which is -49.

Solve 12x − 13 = −49

How to work it out

Trying values of x in 12x − 13 = −49

Questions

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