Solve 4x − 13 = 19

The solution of 4x − 13 = 19 is x = 8.

4x - 13 = 19\ \Rightarrow\ x = 8

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The lines y = 4x − 13 and y = 19 meet at x = 8. 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.
$4x - 13 = 19$
2
Add 13 to both sides:
$4x - 13 + 13 = 19 + 13 \ \Rightarrow\ 4x = 32$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{32}{4} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$4\cdot8 - 13 = 32 - 13 = 19 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 13 = 19\ \Rightarrow\ x = 8 \]
\[ 4x - 13 = 19 \]
\[ 4x - 13 + 13 = 19 + 13 \ \Rightarrow\ 4x = 32 \]
\[ \frac{4x}{4} = \frac{32}{4} \ \Rightarrow\ x = 8 \]
\[ 4\cdot8 - 13 = 32 - 13 = 19 \checkmark \]

Trying values of x in 4x − 13 = 19

x	4x − 13	Equals 19?
6	11	no
7	15	no
8	19	yes
9	23	no
10	27	no

Questions

What is x in 4x − 13 = 19?

The solution of 4x − 13 = 19 is x = 8.

How do you solve 4x − 13 = 19?

Add 13 to both sides to get 4x = 32, then divide both sides by 4 to get x = 8.

How do I check the answer?

Replace x by 8: 4(8) − 13 = 19, which is 19.

Solve 4x − 13 = 19

How to work it out

Trying values of x in 4x − 13 = 19

Questions

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