Solve 4x − 5 = −41

The solution of 4x − 5 = −41 is x = -9.

4x - 5 = -41\ \Rightarrow\ x = -9

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The lines y = 4x − 5 and y = -41 meet at x = -9. 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.
$4x - 5 = -41$
2
Add 5 to both sides:
$4x - 5 + 5 = -41 + 5 \ \Rightarrow\ 4x = -36$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-36}{4} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$4\cdot(-9) - 5 = -36 - 5 = -41 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 5 = -41\ \Rightarrow\ x = -9 \]
\[ 4x - 5 = -41 \]
\[ 4x - 5 + 5 = -41 + 5 \ \Rightarrow\ 4x = -36 \]
\[ \frac{4x}{4} = \frac{-36}{4} \ \Rightarrow\ x = -9 \]
\[ 4\cdot(-9) - 5 = -36 - 5 = -41 \checkmark \]

Trying values of x in 4x − 5 = −41

x	4x − 5	Equals -41?
-11	-49	no
-10	-45	no
-9	-41	yes
-8	-37	no
-7	-33	no

Questions

What is x in 4x − 5 = −41?

The solution of 4x − 5 = −41 is x = -9.

How do you solve 4x − 5 = −41?

Add 5 to both sides to get 4x = -36, then divide both sides by 4 to get x = -9.

How do I check the answer?

Replace x by -9: 4(-9) − 5 = -41, which is -41.

Solve 4x − 5 = −41

How to work it out

Trying values of x in 4x − 5 = −41

Questions

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