Solve 7x − 13 = 106

The solution of 7x − 13 = 106 is x = 17.

7x - 13 = 106\ \Rightarrow\ x = 17

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The lines y = 7x − 13 and y = 106 meet at x = 17. 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.
$7x - 13 = 106$
2
Add 13 to both sides:
$7x - 13 + 13 = 106 + 13 \ \Rightarrow\ 7x = 119$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$7\cdot17 - 13 = 119 - 13 = 106 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 13 = 106\ \Rightarrow\ x = 17 \]
\[ 7x - 13 = 106 \]
\[ 7x - 13 + 13 = 106 + 13 \ \Rightarrow\ 7x = 119 \]
\[ \frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17 \]
\[ 7\cdot17 - 13 = 119 - 13 = 106 \checkmark \]

Trying values of x in 7x − 13 = 106

x	7x − 13	Equals 106?
15	92	no
16	99	no
17	106	yes
18	113	no
19	120	no

Questions

What is x in 7x − 13 = 106?

The solution of 7x − 13 = 106 is x = 17.

How do you solve 7x − 13 = 106?

Add 13 to both sides to get 7x = 119, then divide both sides by 7 to get x = 17.

How do I check the answer?

Replace x by 17: 7(17) − 13 = 106, which is 106.

Solve 7x − 13 = 106

How to work it out

Trying values of x in 7x − 13 = 106

Questions

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