Solve 11x − 13 = −46

The solution of 11x − 13 = −46 is x = -3.

11x - 13 = -46\ \Rightarrow\ x = -3

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The lines y = 11x − 13 and y = -46 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.
$11x - 13 = -46$
2
Add 13 to both sides:
$11x - 13 + 13 = -46 + 13 \ \Rightarrow\ 11x = -33$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$11\cdot(-3) - 13 = -33 - 13 = -46 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 13 = -46\ \Rightarrow\ x = -3 \]
\[ 11x - 13 = -46 \]
\[ 11x - 13 + 13 = -46 + 13 \ \Rightarrow\ 11x = -33 \]
\[ \frac{11x}{11} = \frac{-33}{11} \ \Rightarrow\ x = -3 \]
\[ 11\cdot(-3) - 13 = -33 - 13 = -46 \checkmark \]

Trying values of x in 11x − 13 = −46

x	11x − 13	Equals -46?
-5	-68	no
-4	-57	no
-3	-46	yes
-2	-35	no
-1	-24	no

Questions

What is x in 11x − 13 = −46?

The solution of 11x − 13 = −46 is x = -3.

How do you solve 11x − 13 = −46?

Add 13 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) − 13 = -46, which is -46.

Solve 11x − 13 = −46

How to work it out

Trying values of x in 11x − 13 = −46

Questions

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