Solve 4x − 5 = 31

The solution of 4x − 5 = 31 is x = 9.

4x - 5 = 31\ \Rightarrow\ x = 9

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The lines y = 4x − 5 and y = 31 meet at x = 9. 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.
$4x - 5 = 31$
2
Add 5 to both sides:
$4x - 5 + 5 = 31 + 5 \ \Rightarrow\ 4x = 36$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{36}{4} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$4\cdot9 - 5 = 36 - 5 = 31 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 5 = 31\ \Rightarrow\ x = 9 \]
\[ 4x - 5 = 31 \]
\[ 4x - 5 + 5 = 31 + 5 \ \Rightarrow\ 4x = 36 \]
\[ \frac{4x}{4} = \frac{36}{4} \ \Rightarrow\ x = 9 \]
\[ 4\cdot9 - 5 = 36 - 5 = 31 \checkmark \]

Trying values of x in 4x − 5 = 31

x	4x − 5	Equals 31?
7	23	no
8	27	no
9	31	yes
10	35	no
11	39	no

Questions

What is x in 4x − 5 = 31?

The solution of 4x − 5 = 31 is x = 9.

How do you solve 4x − 5 = 31?

Add 5 to both sides to get 4x = 36, then divide both sides by 4 to get x = 9.

How do I check the answer?

Replace x by 9: 4(9) − 5 = 31, which is 31.

Solve 4x − 5 = 31

How to work it out

Trying values of x in 4x − 5 = 31

Questions

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