Solve 7x − 6 = 22

The solution of 7x − 6 = 22 is x = 4.

7x - 6 = 22\ \Rightarrow\ x = 4

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The lines y = 7x − 6 and y = 22 meet at x = 4. 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.
$7x - 6 = 22$
2
Add 6 to both sides:
$7x - 6 + 6 = 22 + 6 \ \Rightarrow\ 7x = 28$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$7\cdot4 - 6 = 28 - 6 = 22 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 6 = 22\ \Rightarrow\ x = 4 \]
\[ 7x - 6 = 22 \]
\[ 7x - 6 + 6 = 22 + 6 \ \Rightarrow\ 7x = 28 \]
\[ \frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4 \]
\[ 7\cdot4 - 6 = 28 - 6 = 22 \checkmark \]

Trying values of x in 7x − 6 = 22

x	7x − 6	Equals 22?
2	8	no
3	15	no
4	22	yes
5	29	no
6	36	no

Questions

What is x in 7x − 6 = 22?

The solution of 7x − 6 = 22 is x = 4.

How do you solve 7x − 6 = 22?

Add 6 to both sides to get 7x = 28, then divide both sides by 7 to get x = 4.

How do I check the answer?

Replace x by 4: 7(4) − 6 = 22, which is 22.

Solve 7x − 6 = 22

How to work it out

Trying values of x in 7x − 6 = 22

Questions

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