Solve 8x − 5 = −13

The solution of 8x − 5 = −13 is x = -1.

8x - 5 = -13\ \Rightarrow\ x = -1

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The lines y = 8x − 5 and y = -13 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 subtraction, then the multiplication.
$8x - 5 = -13$
2
Add 5 to both sides:
$8x - 5 + 5 = -13 + 5 \ \Rightarrow\ 8x = -8$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{-8}{8} \ \Rightarrow\ x = -1$
4
Check: put x = -1 back into the equation.
$8\cdot(-1) - 5 = -8 - 5 = -13 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 5 = -13\ \Rightarrow\ x = -1 \]
\[ 8x - 5 = -13 \]
\[ 8x - 5 + 5 = -13 + 5 \ \Rightarrow\ 8x = -8 \]
\[ \frac{8x}{8} = \frac{-8}{8} \ \Rightarrow\ x = -1 \]
\[ 8\cdot(-1) - 5 = -8 - 5 = -13 \checkmark \]

Trying values of x in 8x − 5 = −13

x	8x − 5	Equals -13?
-3	-29	no
-2	-21	no
-1	-13	yes
0	-5	no
1	3	no

Questions

What is x in 8x − 5 = −13?

The solution of 8x − 5 = −13 is x = -1.

How do you solve 8x − 5 = −13?

Add 5 to 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) − 5 = -13, which is -13.

Solve 8x − 5 = −13

How to work it out

Trying values of x in 8x − 5 = −13

Questions

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