Solve 10x + 2 = −8

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

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

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

The lines y = 10x + 2 and y = -8 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 addition, then the multiplication.
$10x + 2 = -8$
2
Subtract 2 from both sides:
$10x + 2 - 2 = -8 - 2 \ \Rightarrow\ 10x = -10$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{-10}{10} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$10\cdot(-1) + 2 = -10 + 2 = -8 \checkmark$

LaTeX source of the formulas on this page

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

Trying values of x in 10x + 2 = −8

x	10x + 2	Equals -8?
-3	-28	no
-2	-18	no
-1	-8	yes
0	2	no
1	12	no

Questions

What is x in 10x + 2 = −8?

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

How do you solve 10x + 2 = −8?

Subtract 2 from both sides to get 10x = -10, then divide both sides by 10 to get x = -1.

How do I check the answer?

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

Solve 10x + 2 = −8

How to work it out

Trying values of x in 10x + 2 = −8

Questions

Similar equations