Solve 11x − 14 = −47

The solution of 11x − 14 = −47 is x = -3.

11x - 14 = -47\ \Rightarrow\ x = -3

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The lines y = 11x − 14 and y = -47 meet at x = -3. 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.
$11x - 14 = -47$
2
Add 14 to both sides:
$11x - 14 + 14 = -47 + 14 \ \Rightarrow\ 11x = -33$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$11\cdot(-3) - 14 = -33 - 14 = -47 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 14 = -47\ \Rightarrow\ x = -3 \]
\[ 11x - 14 = -47 \]
\[ 11x - 14 + 14 = -47 + 14 \ \Rightarrow\ 11x = -33 \]
\[ \frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3 \]
\[ 11\cdot(-3) - 14 = -33 - 14 = -47 \checkmark \]

Trying values of x in 11x − 14 = −47

x	11x − 14	Equals -47?
-5	-69	no
-4	-58	no
-3	-47	yes
-2	-36	no
-1	-25	no

Questions

What is x in 11x − 14 = −47?

The solution of 11x − 14 = −47 is x = -3.

How do you solve 11x − 14 = −47?

Add 14 to both sides to get 11x = -33, then divide both sides by 11 to get x = -3.

How do I check the answer?

Replace x by -3: 11(-3) − 14 = -47, which is -47.

Solve 11x − 14 = −47

How to work it out

Trying values of x in 11x − 14 = −47

Questions

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