Solve 8x − 7 = −23

The solution of 8x − 7 = −23 is x = -2.

8x - 7 = -23\ \Rightarrow\ x = -2

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The lines y = 8x − 7 and y = -23 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 subtraction, then the multiplication.
$8x - 7 = -23$
2
Add 7 to both sides:
$8x - 7 + 7 = -23 + 7 \ \Rightarrow\ 8x = -16$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-16}{8} \ \Rightarrow\ x = -2$
4
Check: put x = -2 back into the equation.
$8\cdot(-2) - 7 = -16 - 7 = -23 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 7 = -23\ \Rightarrow\ x = -2 \]
\[ 8x - 7 = -23 \]
\[ 8x - 7 + 7 = -23 + 7 \ \Rightarrow\ 8x = -16 \]
\[ \frac{8x}{8} = \frac{-16}{8} \ \Rightarrow\ x = -2 \]
\[ 8\cdot(-2) - 7 = -16 - 7 = -23 \checkmark \]

Trying values of x in 8x − 7 = −23

x	8x − 7	Equals -23?
-4	-39	no
-3	-31	no
-2	-23	yes
-1	-15	no
0	-7	no

Questions

What is x in 8x − 7 = −23?

The solution of 8x − 7 = −23 is x = -2.

How do you solve 8x − 7 = −23?

Add 7 to both sides to get 8x = -16, then divide both sides by 8 to get x = -2.

How do I check the answer?

Replace x by -2: 8(-2) − 7 = -23, which is -23.

Solve 8x − 7 = −23

How to work it out

Trying values of x in 8x − 7 = −23

Questions

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