Solve 6x − 11 = −47

The solution of 6x − 11 = −47 is x = -6.

6x - 11 = -47\ \Rightarrow\ x = -6

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The lines y = 6x − 11 and y = -47 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.
$6x - 11 = -47$
2
Add 11 to both sides:
$6x - 11 + 11 = -47 + 11 \ \Rightarrow\ 6x = -36$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{-36}{6} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$6\cdot(-6) - 11 = -36 - 11 = -47 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 11 = -47\ \Rightarrow\ x = -6 \]
\[ 6x - 11 = -47 \]
\[ 6x - 11 + 11 = -47 + 11 \ \Rightarrow\ 6x = -36 \]
\[ \frac{6x}{6} = \frac{-36}{6} \ \Rightarrow\ x = -6 \]
\[ 6\cdot(-6) - 11 = -36 - 11 = -47 \checkmark \]

Trying values of x in 6x − 11 = −47

x	6x − 11	Equals -47?
-8	-59	no
-7	-53	no
-6	-47	yes
-5	-41	no
-4	-35	no

Questions

What is x in 6x − 11 = −47?

The solution of 6x − 11 = −47 is x = -6.

How do you solve 6x − 11 = −47?

Add 11 to both sides to get 6x = -36, then divide both sides by 6 to get x = -6.

How do I check the answer?

Replace x by -6: 6(-6) − 11 = -47, which is -47.

Solve 6x − 11 = −47

How to work it out

Trying values of x in 6x − 11 = −47

Questions

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