Solve 8x + 1 = −71

The solution of 8x + 1 = −71 is x = -9.

8x + 1 = -71\ \Rightarrow\ x = -9

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The lines y = 8x + 1 and y = -71 meet at x = -9. 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.
$8x + 1 = -71$
2
Subtract 1 from both sides:
$8x + 1 - 1 = -71 - 1 \ \Rightarrow\ 8x = -72$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-72}{8} \ \Rightarrow\ x = -9$
4
Check: put x = -9 back into the equation.
$8\cdot(-9) + 1 = -72 + 1 = -71 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 1 = -71\ \Rightarrow\ x = -9 \]
\[ 8x + 1 = -71 \]
\[ 8x + 1 - 1 = -71 - 1 \ \Rightarrow\ 8x = -72 \]
\[ \frac{8x}{8} = \frac{-72}{8} \ \Rightarrow\ x = -9 \]
\[ 8\cdot(-9) + 1 = -72 + 1 = -71 \checkmark \]

Trying values of x in 8x + 1 = −71

x	8x + 1	Equals -71?
-11	-87	no
-10	-79	no
-9	-71	yes
-8	-63	no
-7	-55	no

Questions

What is x in 8x + 1 = −71?

The solution of 8x + 1 = −71 is x = -9.

How do you solve 8x + 1 = −71?

Subtract 1 from both sides to get 8x = -72, then divide both sides by 8 to get x = -9.

How do I check the answer?

Replace x by -9: 8(-9) + 1 = -71, which is -71.

Solve 8x + 1 = −71

How to work it out

Trying values of x in 8x + 1 = −71

Questions

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