Solve 7x − 1 = 27

The solution of 7x − 1 = 27 is x = 4.

7x - 1 = 27\ \Rightarrow\ x = 4

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The lines y = 7x − 1 and y = 27 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.
$7x - 1 = 27$
2
Add 1 to both sides:
$7x - 1 + 1 = 27 + 1 \ \Rightarrow\ 7x = 28$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$7\cdot4 - 1 = 28 - 1 = 27 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 1 = 27\ \Rightarrow\ x = 4 \]
\[ 7x - 1 = 27 \]
\[ 7x - 1 + 1 = 27 + 1 \ \Rightarrow\ 7x = 28 \]
\[ \frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4 \]
\[ 7\cdot4 - 1 = 28 - 1 = 27 \checkmark \]

Trying values of x in 7x − 1 = 27

x	7x − 1	Equals 27?
2	13	no
3	20	no
4	27	yes
5	34	no
6	41	no

Questions

What is x in 7x − 1 = 27?

The solution of 7x − 1 = 27 is x = 4.

How do you solve 7x − 1 = 27?

Add 1 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) − 1 = 27, which is 27.

Solve 7x − 1 = 27

How to work it out

Trying values of x in 7x − 1 = 27

Questions

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