Solve 8x − 10 = −26

The solution of 8x − 10 = −26 is x = -2.

8x - 10 = -26\ \Rightarrow\ x = -2

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

The lines y = 8x − 10 and y = -26 meet at x = -2. 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.
$8x - 10 = -26$
2
Add 10 to both sides:
$8x - 10 + 10 = -26 + 10 \ \Rightarrow\ 8x = -16$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-16}{8} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$8\cdot(-2) - 10 = -16 - 10 = -26 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 10 = -26\ \Rightarrow\ x = -2 \]
\[ 8x - 10 = -26 \]
\[ 8x - 10 + 10 = -26 + 10 \ \Rightarrow\ 8x = -16 \]
\[ \frac{8x}{8} = \frac{-16}{8} \ \Rightarrow\ x = -2 \]
\[ 8\cdot(-2) - 10 = -16 - 10 = -26 \checkmark \]

Trying values of x in 8x − 10 = −26

x	8x − 10	Equals -26?
-4	-42	no
-3	-34	no
-2	-26	yes
-1	-18	no
0	-10	no

Questions

What is x in 8x − 10 = −26?

The solution of 8x − 10 = −26 is x = -2.

How do you solve 8x − 10 = −26?

Add 10 to both sides to get 8x = -16, then divide both sides by 8 to get x = -2.

How do I check the answer?

Replace x by -2: 8(-2) − 10 = -26, which is -26.

Solve 8x − 10 = −26

How to work it out

Trying values of x in 8x − 10 = −26

Questions

Similar equations