Solve 8x − 13 = 99

The solution of 8x − 13 = 99 is x = 14.

8x - 13 = 99\ \Rightarrow\ x = 14

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The lines y = 8x − 13 and y = 99 meet at x = 14. 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.
$8x - 13 = 99$
2
Add 13 to both sides:
$8x - 13 + 13 = 99 + 13 \ \Rightarrow\ 8x = 112$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$8\cdot14 - 13 = 112 - 13 = 99 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 13 = 99\ \Rightarrow\ x = 14 \]
\[ 8x - 13 = 99 \]
\[ 8x - 13 + 13 = 99 + 13 \ \Rightarrow\ 8x = 112 \]
\[ \frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14 \]
\[ 8\cdot14 - 13 = 112 - 13 = 99 \checkmark \]

Trying values of x in 8x − 13 = 99

x	8x − 13	Equals 99?
12	83	no
13	91	no
14	99	yes
15	107	no
16	115	no

Questions

What is x in 8x − 13 = 99?

The solution of 8x − 13 = 99 is x = 14.

How do you solve 8x − 13 = 99?

Add 13 to both sides to get 8x = 112, then divide both sides by 8 to get x = 14.

How do I check the answer?

Replace x by 14: 8(14) − 13 = 99, which is 99.

Solve 8x − 13 = 99

How to work it out

Trying values of x in 8x − 13 = 99

Questions

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