Solve 8x + 2 = −22

The solution of 8x + 2 = −22 is x = -3.

8x + 2 = -22\ \Rightarrow\ x = -3

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The lines y = 8x + 2 and y = -22 meet at x = -3. 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.
$8x + 2 = -22$
2
Subtract 2 from both sides:
$8x + 2 - 2 = -22 - 2 \ \Rightarrow\ 8x = -24$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-24}{8} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$8\cdot(-3) + 2 = -24 + 2 = -22 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 2 = -22\ \Rightarrow\ x = -3 \]
\[ 8x + 2 = -22 \]
\[ 8x + 2 - 2 = -22 - 2 \ \Rightarrow\ 8x = -24 \]
\[ \frac{8x}{8} = \frac{-24}{8} \ \Rightarrow\ x = -3 \]
\[ 8\cdot(-3) + 2 = -24 + 2 = -22 \checkmark \]

Trying values of x in 8x + 2 = −22

x	8x + 2	Equals -22?
-5	-38	no
-4	-30	no
-3	-22	yes
-2	-14	no
-1	-6	no

Questions

What is x in 8x + 2 = −22?

The solution of 8x + 2 = −22 is x = -3.

How do you solve 8x + 2 = −22?

Subtract 2 from both sides to get 8x = -24, then divide both sides by 8 to get x = -3.

How do I check the answer?

Replace x by -3: 8(-3) + 2 = -22, which is -22.

Solve 8x + 2 = −22

How to work it out

Trying values of x in 8x + 2 = −22

Questions

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