Solve 8x − 13 = −5

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

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

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The lines y = 8x − 13 and y = -5 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.
$8x - 13 = -5$
2
Add 13 to both sides:
$8x - 13 + 13 = -5 + 13 \ \Rightarrow\ 8x = 8$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{8}{8} \ \Rightarrow\ x = 1$
4
Check: put x = 1 back into the equation.
$8\cdot1 - 13 = 8 - 13 = -5 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 13 = -5\ \Rightarrow\ x = 1 \]
\[ 8x - 13 = -5 \]
\[ 8x - 13 + 13 = -5 + 13 \ \Rightarrow\ 8x = 8 \]
\[ \frac{8x}{8} = \frac{8}{8} \ \Rightarrow\ x = 1 \]
\[ 8\cdot1 - 13 = 8 - 13 = -5 \checkmark \]

Trying values of x in 8x − 13 = −5

x	8x − 13	Equals -5?
-1	-21	no
0	-13	no
1	-5	yes
2	3	no
3	11	no

Questions

What is x in 8x − 13 = −5?

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

How do you solve 8x − 13 = −5?

Add 13 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) − 13 = -5, which is -5.

Solve 8x − 13 = −5

How to work it out

Trying values of x in 8x − 13 = −5

Questions

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