Solve 8x − 11 = −35

The solution of 8x − 11 = −35 is x = -3.

8x - 11 = -35\ \Rightarrow\ x = -3

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

The lines y = 8x − 11 and y = -35 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.
$8x - 11 = -35$
2
Add 11 to both sides:
$8x - 11 + 11 = -35 + 11 \ \Rightarrow\ 8x = -24$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-24}{8} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$8\cdot(-3) - 11 = -24 - 11 = -35 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 11 = -35\ \Rightarrow\ x = -3 \]
\[ 8x - 11 = -35 \]
\[ 8x - 11 + 11 = -35 + 11 \ \Rightarrow\ 8x = -24 \]
\[ \frac{8x}{8} = \frac{-24}{8} \ \Rightarrow\ x = -3 \]
\[ 8\cdot(-3) - 11 = -24 - 11 = -35 \checkmark \]

Trying values of x in 8x − 11 = −35

x	8x − 11	Equals -35?
-5	-51	no
-4	-43	no
-3	-35	yes
-2	-27	no
-1	-19	no

Questions

What is x in 8x − 11 = −35?

The solution of 8x − 11 = −35 is x = -3.

How do you solve 8x − 11 = −35?

Add 11 to both sides to get 8x = -24, then divide both sides by 8 to get x = -3.

How do I check the answer?

Replace x by -3: 8(-3) − 11 = -35, which is -35.

Solve 8x − 11 = −35

How to work it out

Trying values of x in 8x − 11 = −35

Questions

Similar equations