Solve 5x + 8 = −2

The solution of 5x + 8 = −2 is x = -2.

5x + 8 = -2\ \Rightarrow\ x = -2

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

The lines y = 5x + 8 and y = -2 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 addition, then the multiplication.
$5x + 8 = -2$
2
Subtract 8 from both sides:
$5x + 8 - 8 = -2 - 8 \ \Rightarrow\ 5x = -10$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{-10}{5} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$5\cdot(-2) + 8 = -10 + 8 = -2 \checkmark$

LaTeX source of the formulas on this page

\[ 5x + 8 = -2\ \Rightarrow\ x = -2 \]
\[ 5x + 8 = -2 \]
\[ 5x + 8 - 8 = -2 - 8 \ \Rightarrow\ 5x = -10 \]
\[ \frac{5x}{5} = \frac{-10}{5} \ \Rightarrow\ x = -2 \]
\[ 5\cdot(-2) + 8 = -10 + 8 = -2 \checkmark \]

Trying values of x in 5x + 8 = −2

x	5x + 8	Equals -2?
-4	-12	no
-3	-7	no
-2	-2	yes
-1	3	no
0	8	no

Questions

What is x in 5x + 8 = −2?

The solution of 5x + 8 = −2 is x = -2.

How do you solve 5x + 8 = −2?

Subtract 8 from both sides to get 5x = -10, then divide both sides by 5 to get x = -2.

How do I check the answer?

Replace x by -2: 5(-2) + 8 = -2, which is -2.

Solve 5x + 8 = −2

How to work it out

Trying values of x in 5x + 8 = −2

Questions

Similar equations