Solve 8x + 1 = −7

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

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

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

LaTeX source of the formulas on this page

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

Trying values of x in 8x + 1 = −7

x	8x + 1	Equals -7?
-3	-23	no
-2	-15	no
-1	-7	yes
0	1	no
1	9	no

Questions

What is x in 8x + 1 = −7?

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

How do you solve 8x + 1 = −7?

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

How do I check the answer?

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

Solve 8x + 1 = −7

How to work it out

Trying values of x in 8x + 1 = −7

Questions

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