Solve 6x − 13 = −37

The solution of 6x − 13 = −37 is x = -4.

6x - 13 = -37\ \Rightarrow\ x = -4

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The lines y = 6x − 13 and y = -37 meet at x = -4. 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.
$6x - 13 = -37$
2
Add 13 to both sides:
$6x - 13 + 13 = -37 + 13 \ \Rightarrow\ 6x = -24$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-24}{6} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$6\cdot(-4) - 13 = -24 - 13 = -37 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 13 = -37\ \Rightarrow\ x = -4 \]
\[ 6x - 13 = -37 \]
\[ 6x - 13 + 13 = -37 + 13 \ \Rightarrow\ 6x = -24 \]
\[ \frac{6x}{6} = \frac{-24}{6} \ \Rightarrow\ x = -4 \]
\[ 6\cdot(-4) - 13 = -24 - 13 = -37 \checkmark \]

Trying values of x in 6x − 13 = −37

x	6x − 13	Equals -37?
-6	-49	no
-5	-43	no
-4	-37	yes
-3	-31	no
-2	-25	no

Questions

What is x in 6x − 13 = −37?

The solution of 6x − 13 = −37 is x = -4.

How do you solve 6x − 13 = −37?

Add 13 to both sides to get 6x = -24, then divide both sides by 6 to get x = -4.

How do I check the answer?

Replace x by -4: 6(-4) − 13 = -37, which is -37.

Solve 6x − 13 = −37

How to work it out

Trying values of x in 6x − 13 = −37

Questions

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