Solve 4x − 11 = −47

The solution of 4x − 11 = −47 is x = -9.

4x - 11 = -47\ \Rightarrow\ x = -9

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The lines y = 4x − 11 and y = -47 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.
$4x - 11 = -47$
2
Add 11 to both sides:
$4x - 11 + 11 = -47 + 11 \ \Rightarrow\ 4x = -36$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{-36}{4} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$4\cdot(-9) - 11 = -36 - 11 = -47 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 11 = -47\ \Rightarrow\ x = -9 \]
\[ 4x - 11 = -47 \]
\[ 4x - 11 + 11 = -47 + 11 \ \Rightarrow\ 4x = -36 \]
\[ \frac{4x}{4} = \frac{-36}{4} \ \Rightarrow\ x = -9 \]
\[ 4\cdot(-9) - 11 = -36 - 11 = -47 \checkmark \]

Trying values of x in 4x − 11 = −47

x	4x − 11	Equals -47?
-11	-55	no
-10	-51	no
-9	-47	yes
-8	-43	no
-7	-39	no

Questions

What is x in 4x − 11 = −47?

The solution of 4x − 11 = −47 is x = -9.

How do you solve 4x − 11 = −47?

Add 11 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) − 11 = -47, which is -47.

Solve 4x − 11 = −47

How to work it out

Trying values of x in 4x − 11 = −47

Questions

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