Solve 8x − 10 = −2

The solution of 8x − 10 = −2 is x = 1.

8x - 10 = -2\ \Rightarrow\ x = 1

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

The lines y = 8x − 10 and y = -2 meet at x = 1. 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.
$8x - 10 = -2$
2
Add 10 to both sides:
$8x - 10 + 10 = -2 + 10 \ \Rightarrow\ 8x = 8$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{8}{8} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$8\cdot1 - 10 = 8 - 10 = -2 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 10 = -2\ \Rightarrow\ x = 1 \]
\[ 8x - 10 = -2 \]
\[ 8x - 10 + 10 = -2 + 10 \ \Rightarrow\ 8x = 8 \]
\[ \frac{8x}{8} = \frac{8}{8} \ \Rightarrow\ x = 1 \]
\[ 8\cdot1 - 10 = 8 - 10 = -2 \checkmark \]

Trying values of x in 8x − 10 = −2

x	8x − 10	Equals -2?
-1	-18	no
0	-10	no
1	-2	yes
2	6	no
3	14	no

Questions

What is x in 8x − 10 = −2?

The solution of 8x − 10 = −2 is x = 1.

How do you solve 8x − 10 = −2?

Add 10 to both sides to get 8x = 8, then divide both sides by 8 to get x = 1.

How do I check the answer?

Replace x by 1: 8(1) − 10 = -2, which is -2.

Solve 8x − 10 = −2

How to work it out

Trying values of x in 8x − 10 = −2

Questions

Similar equations