Solve 4x − 7 = 13

The solution of 4x − 7 = 13 is x = 5.

4x - 7 = 13\ \Rightarrow\ x = 5

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The lines y = 4x − 7 and y = 13 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.
$4x - 7 = 13$
2
Add 7 to both sides:
$4x - 7 + 7 = 13 + 7 \ \Rightarrow\ 4x = 20$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{20}{4} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$4\cdot5 - 7 = 20 - 7 = 13 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 7 = 13\ \Rightarrow\ x = 5 \]
\[ 4x - 7 = 13 \]
\[ 4x - 7 + 7 = 13 + 7 \ \Rightarrow\ 4x = 20 \]
\[ \frac{4x}{4} = \frac{20}{4} \ \Rightarrow\ x = 5 \]
\[ 4\cdot5 - 7 = 20 - 7 = 13 \checkmark \]

Trying values of x in 4x − 7 = 13

x	4x − 7	Equals 13?
3	5	no
4	9	no
5	13	yes
6	17	no
7	21	no

Questions

What is x in 4x − 7 = 13?

The solution of 4x − 7 = 13 is x = 5.

How do you solve 4x − 7 = 13?

Add 7 to both sides to get 4x = 20, then divide both sides by 4 to get x = 5.

How do I check the answer?

Replace x by 5: 4(5) − 7 = 13, which is 13.

Solve 4x − 7 = 13

How to work it out

Trying values of x in 4x − 7 = 13

Questions

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