Solve 8x − 14 = −22

The solution of 8x − 14 = −22 is x = -1.

8x - 14 = -22\ \Rightarrow\ x = -1

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The lines y = 8x − 14 and y = -22 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.
$8x - 14 = -22$
2
Add 14 to both sides:
$8x - 14 + 14 = -22 + 14 \ \Rightarrow\ 8x = -8$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-8}{8} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$8\cdot(-1) - 14 = -8 - 14 = -22 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 14 = -22\ \Rightarrow\ x = -1 \]
\[ 8x - 14 = -22 \]
\[ 8x - 14 + 14 = -22 + 14 \ \Rightarrow\ 8x = -8 \]
\[ \frac{8x}{8} = \frac{-8}{8} \ \Rightarrow\ x = -1 \]
\[ 8\cdot(-1) - 14 = -8 - 14 = -22 \checkmark \]

Trying values of x in 8x − 14 = −22

x	8x − 14	Equals -22?
-3	-38	no
-2	-30	no
-1	-22	yes
0	-14	no
1	-6	no

Questions

What is x in 8x − 14 = −22?

The solution of 8x − 14 = −22 is x = -1.

How do you solve 8x − 14 = −22?

Add 14 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) − 14 = -22, which is -22.

Solve 8x − 14 = −22

How to work it out

Trying values of x in 8x − 14 = −22

Questions

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