Solve 5x − 6 = 64

The solution of 5x − 6 = 64 is x = 14.

5x - 6 = 64\ \Rightarrow\ x = 14

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

The lines y = 5x − 6 and y = 64 meet at x = 14. 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.
$5x - 6 = 64$
2
Add 6 to both sides:
$5x - 6 + 6 = 64 + 6 \ \Rightarrow\ 5x = 70$
3
Divide both sides by 5:
$\frac{5x}{5} = \frac{70}{5} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$5\cdot14 - 6 = 70 - 6 = 64 \checkmark$

LaTeX source of the formulas on this page

\[ 5x - 6 = 64\ \Rightarrow\ x = 14 \]
\[ 5x - 6 = 64 \]
\[ 5x - 6 + 6 = 64 + 6 \ \Rightarrow\ 5x = 70 \]
\[ \frac{5x}{5} = \frac{70}{5} \ \Rightarrow\ x = 14 \]
\[ 5\cdot14 - 6 = 70 - 6 = 64 \checkmark \]

Trying values of x in 5x − 6 = 64

x	5x − 6	Equals 64?
12	54	no
13	59	no
14	64	yes
15	69	no
16	74	no

Questions

What is x in 5x − 6 = 64?

The solution of 5x − 6 = 64 is x = 14.

How do you solve 5x − 6 = 64?

Add 6 to both sides to get 5x = 70, then divide both sides by 5 to get x = 14.

How do I check the answer?

Replace x by 14: 5(14) − 6 = 64, which is 64.

Solve 5x − 6 = 64

How to work it out

Trying values of x in 5x − 6 = 64

Questions

Similar equations