Solve 8x + 1 = −31

The solution of 8x + 1 = −31 is x = -4.

8x + 1 = -31\ \Rightarrow\ x = -4

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The lines y = 8x + 1 and y = -31 meet at x = -4. 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.
$8x + 1 = -31$
2
Subtract 1 from both sides:
$8x + 1 - 1 = -31 - 1 \ \Rightarrow\ 8x = -32$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-32}{8} \ \Rightarrow\ x = -4$
4
Check: put x = -4 back into the equation.
$8\cdot(-4) + 1 = -32 + 1 = -31 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 1 = -31\ \Rightarrow\ x = -4 \]
\[ 8x + 1 = -31 \]
\[ 8x + 1 - 1 = -31 - 1 \ \Rightarrow\ 8x = -32 \]
\[ \frac{8x}{8} = \frac{-32}{8} \ \Rightarrow\ x = -4 \]
\[ 8\cdot(-4) + 1 = -32 + 1 = -31 \checkmark \]

Trying values of x in 8x + 1 = −31

x	8x + 1	Equals -31?
-6	-47	no
-5	-39	no
-4	-31	yes
-3	-23	no
-2	-15	no

Questions

What is x in 8x + 1 = −31?

The solution of 8x + 1 = −31 is x = -4.

How do you solve 8x + 1 = −31?

Subtract 1 from both sides to get 8x = -32, then divide both sides by 8 to get x = -4.

How do I check the answer?

Replace x by -4: 8(-4) + 1 = -31, which is -31.

Solve 8x + 1 = −31

How to work it out

Trying values of x in 8x + 1 = −31

Questions

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