Solve 8x + 1 = −47

The solution of 8x + 1 = −47 is x = -6.

8x + 1 = -47\ \Rightarrow\ x = -6

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The lines y = 8x + 1 and y = -47 meet at x = -6. 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.
$8x + 1 = -47$
2
Subtract 1 from both sides:
$8x + 1 - 1 = -47 - 1 \ \Rightarrow\ 8x = -48$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6$
4
Check: put x = -6 back into the equation.
$8\cdot(-6) + 1 = -48 + 1 = -47 \checkmark$

LaTeX source of the formulas on this page

\[ 8x + 1 = -47\ \Rightarrow\ x = -6 \]
\[ 8x + 1 = -47 \]
\[ 8x + 1 - 1 = -47 - 1 \ \Rightarrow\ 8x = -48 \]
\[ \frac{8x}{8} = \frac{-48}{8} \ \Rightarrow\ x = -6 \]
\[ 8\cdot(-6) + 1 = -48 + 1 = -47 \checkmark \]

Trying values of x in 8x + 1 = −47

x	8x + 1	Equals -47?
-8	-63	no
-7	-55	no
-6	-47	yes
-5	-39	no
-4	-31	no

Questions

What is x in 8x + 1 = −47?

The solution of 8x + 1 = −47 is x = -6.

How do you solve 8x + 1 = −47?

Subtract 1 from both sides to get 8x = -48, then divide both sides by 8 to get x = -6.

How do I check the answer?

Replace x by -6: 8(-6) + 1 = -47, which is -47.

Solve 8x + 1 = −47

How to work it out

Trying values of x in 8x + 1 = −47

Questions

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