Solve 11x + 9 = −46

The solution of 11x + 9 = −46 is x = -5.

11x + 9 = -46\ \Rightarrow\ x = -5

Explain it step by step in chat Make a short video of it

The lines y = 11x + 9 and y = -46 meet at x = -5. 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 addition, then the multiplication.
$11x + 9 = -46$
2
Subtract 9 from both sides:
$11x + 9 - 9 = -46 - 9 \ \Rightarrow\ 11x = -55$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5$
4
Check: put x = -5 back into the equation.
$11\cdot(-5) + 9 = -55 + 9 = -46 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 9 = -46\ \Rightarrow\ x = -5 \]
\[ 11x + 9 = -46 \]
\[ 11x + 9 - 9 = -46 - 9 \ \Rightarrow\ 11x = -55 \]
\[ \frac{11x}{11} = \frac{-55}{11} \ \Rightarrow\ x = -5 \]
\[ 11\cdot(-5) + 9 = -55 + 9 = -46 \checkmark \]

Trying values of x in 11x + 9 = −46

x	11x + 9	Equals -46?
-7	-68	no
-6	-57	no
-5	-46	yes
-4	-35	no
-3	-24	no

Questions

What is x in 11x + 9 = −46?

The solution of 11x + 9 = −46 is x = -5.

How do you solve 11x + 9 = −46?

Subtract 9 from both sides to get 11x = -55, then divide both sides by 11 to get x = -5.

How do I check the answer?

Replace x by -5: 11(-5) + 9 = -46, which is -46.

Solve 11x + 9 = −46

How to work it out

Trying values of x in 11x + 9 = −46

Questions

Similar equations