Solve 8x − 1 = −57

The solution of 8x − 1 = −57 is x = -7.

8x - 1 = -57\ \Rightarrow\ x = -7

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The lines y = 8x − 1 and y = -57 meet at x = -7. 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.
$8x - 1 = -57$
2
Add 1 to both sides:
$8x - 1 + 1 = -57 + 1 \ \Rightarrow\ 8x = -56$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-56}{8} \ \Rightarrow\ x = -7$
4
Check: put x = -7 back into the equation.
$8\cdot(-7) - 1 = -56 - 1 = -57 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 1 = -57\ \Rightarrow\ x = -7 \]
\[ 8x - 1 = -57 \]
\[ 8x - 1 + 1 = -57 + 1 \ \Rightarrow\ 8x = -56 \]
\[ \frac{8x}{8} = \frac{-56}{8} \ \Rightarrow\ x = -7 \]
\[ 8\cdot(-7) - 1 = -56 - 1 = -57 \checkmark \]

Trying values of x in 8x − 1 = −57

x	8x − 1	Equals -57?
-9	-73	no
-8	-65	no
-7	-57	yes
-6	-49	no
-5	-41	no

Questions

What is x in 8x − 1 = −57?

The solution of 8x − 1 = −57 is x = -7.

How do you solve 8x − 1 = −57?

Add 1 to both sides to get 8x = -56, then divide both sides by 8 to get x = -7.

How do I check the answer?

Replace x by -7: 8(-7) − 1 = -57, which is -57.

Solve 8x − 1 = −57

How to work it out

Trying values of x in 8x − 1 = −57

Questions

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