Solve 8x − 8 = −32

The solution of 8x − 8 = −32 is x = -3.

8x - 8 = -32\ \Rightarrow\ x = -3

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The lines y = 8x − 8 and y = -32 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 subtraction, then the multiplication.
$8x - 8 = -32$
2
Add 8 to both sides:
$8x - 8 + 8 = -32 + 8 \ \Rightarrow\ 8x = -24$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-24}{8} \ \Rightarrow\ x = -3$
4
Check: put x = -3 back into the equation.
$8\cdot(-3) - 8 = -24 - 8 = -32 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 8 = -32\ \Rightarrow\ x = -3 \]
\[ 8x - 8 = -32 \]
\[ 8x - 8 + 8 = -32 + 8 \ \Rightarrow\ 8x = -24 \]
\[ \frac{8x}{8} = \frac{-24}{8} \ \Rightarrow\ x = -3 \]
\[ 8\cdot(-3) - 8 = -24 - 8 = -32 \checkmark \]

Trying values of x in 8x − 8 = −32

x	8x − 8	Equals -32?
-5	-48	no
-4	-40	no
-3	-32	yes
-2	-24	no
-1	-16	no

Questions

What is x in 8x − 8 = −32?

The solution of 8x − 8 = −32 is x = -3.

How do you solve 8x − 8 = −32?

Add 8 to 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) − 8 = -32, which is -32.

Solve 8x − 8 = −32

How to work it out

Trying values of x in 8x − 8 = −32

Questions

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