Solve 7x − 8 = 27

The solution of 7x − 8 = 27 is x = 5.

7x - 8 = 27\ \Rightarrow\ x = 5

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The lines y = 7x − 8 and y = 27 meet at x = 5. 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.
$7x - 8 = 27$
2
Add 8 to both sides:
$7x - 8 + 8 = 27 + 8 \ \Rightarrow\ 7x = 35$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$7\cdot5 - 8 = 35 - 8 = 27 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 8 = 27\ \Rightarrow\ x = 5 \]
\[ 7x - 8 = 27 \]
\[ 7x - 8 + 8 = 27 + 8 \ \Rightarrow\ 7x = 35 \]
\[ \frac{7x}{7} = \frac{35}{7} \ \Rightarrow\ x = 5 \]
\[ 7\cdot5 - 8 = 35 - 8 = 27 \checkmark \]

Trying values of x in 7x − 8 = 27

x	7x − 8	Equals 27?
3	13	no
4	20	no
5	27	yes
6	34	no
7	41	no

Questions

What is x in 7x − 8 = 27?

The solution of 7x − 8 = 27 is x = 5.

How do you solve 7x − 8 = 27?

Add 8 to both sides to get 7x = 35, then divide both sides by 7 to get x = 5.

How do I check the answer?

Replace x by 5: 7(5) − 8 = 27, which is 27.

Solve 7x − 8 = 27

How to work it out

Trying values of x in 7x − 8 = 27

Questions

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