Solve 8x − 11 = 5

The solution of 8x − 11 = 5 is x = 2.

8x - 11 = 5\ \Rightarrow\ x = 2

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The lines y = 8x − 11 and y = 5 meet at x = 2. 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.
$8x - 11 = 5$
2
Add 11 to both sides:
$8x - 11 + 11 = 5 + 11 \ \Rightarrow\ 8x = 16$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{16}{8} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$8\cdot2 - 11 = 16 - 11 = 5 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 11 = 5\ \Rightarrow\ x = 2 \]
\[ 8x - 11 = 5 \]
\[ 8x - 11 + 11 = 5 + 11 \ \Rightarrow\ 8x = 16 \]
\[ \frac{8x}{8} = \frac{16}{8} \ \Rightarrow\ x = 2 \]
\[ 8\cdot2 - 11 = 16 - 11 = 5 \checkmark \]

Trying values of x in 8x − 11 = 5

x	8x − 11	Equals 5?
0	-11	no
1	-3	no
2	5	yes
3	13	no
4	21	no

Questions

What is x in 8x − 11 = 5?

The solution of 8x − 11 = 5 is x = 2.

How do you solve 8x − 11 = 5?

Add 11 to both sides to get 8x = 16, then divide both sides by 8 to get x = 2.

How do I check the answer?

Replace x by 2: 8(2) − 11 = 5, which is 5.

Solve 8x − 11 = 5

How to work it out

Trying values of x in 8x − 11 = 5

Questions

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