Solve 10x − 13 = 67

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

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

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The lines y = 10x − 13 and y = 67 meet at x = 8. 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.
$10x - 13 = 67$
2
Add 13 to both sides:
$10x - 13 + 13 = 67 + 13 \ \Rightarrow\ 10x = 80$
3
Divide both sides by 10:
$\frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$10\cdot8 - 13 = 80 - 13 = 67 \checkmark$

LaTeX source of the formulas on this page

\[ 10x - 13 = 67\ \Rightarrow\ x = 8 \]
\[ 10x - 13 = 67 \]
\[ 10x - 13 + 13 = 67 + 13 \ \Rightarrow\ 10x = 80 \]
\[ \frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8 \]
\[ 10\cdot8 - 13 = 80 - 13 = 67 \checkmark \]

Trying values of x in 10x − 13 = 67

x	10x − 13	Equals 67?
6	47	no
7	57	no
8	67	yes
9	77	no
10	87	no

Questions

What is x in 10x − 13 = 67?

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

How do you solve 10x − 13 = 67?

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

How do I check the answer?

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

Solve 10x − 13 = 67

How to work it out

Trying values of x in 10x − 13 = 67

Questions

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