Solve 8x − 13 = 75

The solution of 8x − 13 = 75 is x = 11.

8x - 13 = 75\ \Rightarrow\ x = 11

Explain it step by step in chat Make a short video of it

The lines y = 8x − 13 and y = 75 meet at x = 11. 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.
$8x - 13 = 75$
2
Add 13 to both sides:
$8x - 13 + 13 = 75 + 13 \ \Rightarrow\ 8x = 88$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{88}{8} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$8\cdot11 - 13 = 88 - 13 = 75 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 13 = 75\ \Rightarrow\ x = 11 \]
\[ 8x - 13 = 75 \]
\[ 8x - 13 + 13 = 75 + 13 \ \Rightarrow\ 8x = 88 \]
\[ \frac{8x}{8} = \frac{88}{8} \ \Rightarrow\ x = 11 \]
\[ 8\cdot11 - 13 = 88 - 13 = 75 \checkmark \]

Trying values of x in 8x − 13 = 75

x	8x − 13	Equals 75?
9	59	no
10	67	no
11	75	yes
12	83	no
13	91	no

Questions

What is x in 8x − 13 = 75?

The solution of 8x − 13 = 75 is x = 11.

How do you solve 8x − 13 = 75?

Add 13 to both sides to get 8x = 88, then divide both sides by 8 to get x = 11.

How do I check the answer?

Replace x by 11: 8(11) − 13 = 75, which is 75.

Solve 8x − 13 = 75

How to work it out

Trying values of x in 8x − 13 = 75

Questions

Similar equations