Solve 8x − 13 = 67

The solution of 8x − 13 = 67 is x = 10.

8x - 13 = 67\ \Rightarrow\ x = 10

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The lines y = 8x − 13 and y = 67 meet at x = 10. 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.
$8x - 13 = 67$
2
Add 13 to both sides:
$8x - 13 + 13 = 67 + 13 \ \Rightarrow\ 8x = 80$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{80}{8} \ \Rightarrow\ x = 10$
4
Check: put x = 10 back into the equation.
$8\cdot10 - 13 = 80 - 13 = 67 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 13 = 67\ \Rightarrow\ x = 10 \]
\[ 8x - 13 = 67 \]
\[ 8x - 13 + 13 = 67 + 13 \ \Rightarrow\ 8x = 80 \]
\[ \frac{8x}{8} = \frac{80}{8} \ \Rightarrow\ x = 10 \]
\[ 8\cdot10 - 13 = 80 - 13 = 67 \checkmark \]

Trying values of x in 8x − 13 = 67

x	8x − 13	Equals 67?
8	51	no
9	59	no
10	67	yes
11	75	no
12	83	no

Questions

What is x in 8x − 13 = 67?

The solution of 8x − 13 = 67 is x = 10.

How do you solve 8x − 13 = 67?

Add 13 to both sides to get 8x = 80, then divide both sides by 8 to get x = 10.

How do I check the answer?

Replace x by 10: 8(10) − 13 = 67, which is 67.

Solve 8x − 13 = 67

How to work it out

Trying values of x in 8x − 13 = 67

Questions

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