Solve 4x − 11 = 5

The solution of 4x − 11 = 5 is x = 4.

4x - 11 = 5\ \Rightarrow\ x = 4

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The lines y = 4x − 11 and y = 5 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.
$4x - 11 = 5$
2
Add 11 to both sides:
$4x - 11 + 11 = 5 + 11 \ \Rightarrow\ 4x = 16$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{16}{4} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$4\cdot4 - 11 = 16 - 11 = 5 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 11 = 5\ \Rightarrow\ x = 4 \]
\[ 4x - 11 = 5 \]
\[ 4x - 11 + 11 = 5 + 11 \ \Rightarrow\ 4x = 16 \]
\[ \frac{4x}{4} = \frac{16}{4} \ \Rightarrow\ x = 4 \]
\[ 4\cdot4 - 11 = 16 - 11 = 5 \checkmark \]

Trying values of x in 4x − 11 = 5

x	4x − 11	Equals 5?
2	-3	no
3	1	no
4	5	yes
5	9	no
6	13	no

Questions

What is x in 4x − 11 = 5?

The solution of 4x − 11 = 5 is x = 4.

How do you solve 4x − 11 = 5?

Add 11 to both sides to get 4x = 16, then divide both sides by 4 to get x = 4.

How do I check the answer?

Replace x by 4: 4(4) − 11 = 5, which is 5.

Solve 4x − 11 = 5

How to work it out

Trying values of x in 4x − 11 = 5

Questions

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