Solve 5x − 13 = 7

The solution of 5x − 13 = 7 is x = 4.

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

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The lines y = 5x − 13 and y = 7 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.
$5x - 13 = 7$
2
Add 13 to both sides:
$5x - 13 + 13 = 7 + 13 \ \Rightarrow\ 5x = 20$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$5\cdot4 - 13 = 20 - 13 = 7 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 13 = 7\ \Rightarrow\ x = 4 \]
\[ 5x - 13 = 7 \]
\[ 5x - 13 + 13 = 7 + 13 \ \Rightarrow\ 5x = 20 \]
\[ \frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4 \]
\[ 5\cdot4 - 13 = 20 - 13 = 7 \checkmark \]

Trying values of x in 5x − 13 = 7

x	5x − 13	Equals 7?
2	-3	no
3	2	no
4	7	yes
5	12	no
6	17	no

Questions

What is x in 5x − 13 = 7?

The solution of 5x − 13 = 7 is x = 4.

How do you solve 5x − 13 = 7?

Add 13 to both sides to get 5x = 20, then divide both sides by 5 to get x = 4.

How do I check the answer?

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

Solve 5x − 13 = 7

How to work it out

Trying values of x in 5x − 13 = 7

Questions

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