Solve 11x − 15 = −59

The solution of 11x − 15 = −59 is x = -4.

11x - 15 = -59\ \Rightarrow\ x = -4

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

The lines y = 11x − 15 and y = -59 meet at x = -4. 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.
$11x - 15 = -59$
2
Add 15 to both sides:
$11x - 15 + 15 = -59 + 15 \ \Rightarrow\ 11x = -44$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$11\cdot(-4) - 15 = -44 - 15 = -59 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 15 = -59\ \Rightarrow\ x = -4 \]
\[ 11x - 15 = -59 \]
\[ 11x - 15 + 15 = -59 + 15 \ \Rightarrow\ 11x = -44 \]
\[ \frac{11x}{11} = \frac{-44}{11} \ \Rightarrow\ x = -4 \]
\[ 11\cdot(-4) - 15 = -44 - 15 = -59 \checkmark \]

Trying values of x in 11x − 15 = −59

x	11x − 15	Equals -59?
-6	-81	no
-5	-70	no
-4	-59	yes
-3	-48	no
-2	-37	no

Questions

What is x in 11x − 15 = −59?

The solution of 11x − 15 = −59 is x = -4.

How do you solve 11x − 15 = −59?

Add 15 to both sides to get 11x = -44, then divide both sides by 11 to get x = -4.

How do I check the answer?

Replace x by -4: 11(-4) − 15 = -59, which is -59.

Solve 11x − 15 = −59

How to work it out

Trying values of x in 11x − 15 = −59

Questions

Similar equations