Solve 7x − 6 = 106

The solution of 7x − 6 = 106 is x = 16.

7x - 6 = 106\ \Rightarrow\ x = 16

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The lines y = 7x − 6 and y = 106 meet at x = 16. 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.
$7x - 6 = 106$
2
Add 6 to both sides:
$7x - 6 + 6 = 106 + 6 \ \Rightarrow\ 7x = 112$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$7\cdot16 - 6 = 112 - 6 = 106 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 6 = 106\ \Rightarrow\ x = 16 \]
\[ 7x - 6 = 106 \]
\[ 7x - 6 + 6 = 106 + 6 \ \Rightarrow\ 7x = 112 \]
\[ \frac{7x}{7} = \frac{112}{7} \ \Rightarrow\ x = 16 \]
\[ 7\cdot16 - 6 = 112 - 6 = 106 \checkmark \]

Trying values of x in 7x − 6 = 106

x	7x − 6	Equals 106?
14	92	no
15	99	no
16	106	yes
17	113	no
18	120	no

Questions

What is x in 7x − 6 = 106?

The solution of 7x − 6 = 106 is x = 16.

How do you solve 7x − 6 = 106?

Add 6 to both sides to get 7x = 112, then divide both sides by 7 to get x = 16.

How do I check the answer?

Replace x by 16: 7(16) − 6 = 106, which is 106.

Solve 7x − 6 = 106

How to work it out

Trying values of x in 7x − 6 = 106

Questions

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