Solve 4x − 13 = −37

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 4x − 13 = −37

x	4x − 13	Equals -37?
-8	-45	no
-7	-41	no
-6	-37	yes
-5	-33	no
-4	-29	no

Questions

What is x in 4x − 13 = −37?

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

How do you solve 4x − 13 = −37?

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

How do I check the answer?

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

Solve 4x − 13 = −37

How to work it out

Trying values of x in 4x − 13 = −37

Questions

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