Solve 8x + 10 = −22

The solution of 8x + 10 = −22 is x = -4.

8x + 10 = -22\ \Rightarrow\ x = -4

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

The lines y = 8x + 10 and y = -22 meet at x = -4. 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.
$8x + 10 = -22$
2
Subtract 10 from both sides:
$8x + 10 - 10 = -22 - 10 \ \Rightarrow\ 8x = -32$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-32}{8} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$8\cdot(-4) + 10 = -32 + 10 = -22 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 10 = -22\ \Rightarrow\ x = -4 \]
\[ 8x + 10 = -22 \]
\[ 8x + 10 - 10 = -22 - 10 \ \Rightarrow\ 8x = -32 \]
\[ \frac{8x}{8} = \frac{-32}{8} \ \Rightarrow\ x = -4 \]
\[ 8\cdot(-4) + 10 = -32 + 10 = -22 \checkmark \]

Trying values of x in 8x + 10 = −22

x	8x + 10	Equals -22?
-6	-38	no
-5	-30	no
-4	-22	yes
-3	-14	no
-2	-6	no

Questions

What is x in 8x + 10 = −22?

The solution of 8x + 10 = −22 is x = -4.

How do you solve 8x + 10 = −22?

Subtract 10 from both sides to get 8x = -32, then divide both sides by 8 to get x = -4.

How do I check the answer?

Replace x by -4: 8(-4) + 10 = -22, which is -22.

Solve 8x + 10 = −22

How to work it out

Trying values of x in 8x + 10 = −22

Questions

Similar equations