Solve 4x + 8 = 64

The solution of 4x + 8 = 64 is x = 14.

4x + 8 = 64\ \Rightarrow\ x = 14

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

The lines y = 4x + 8 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 addition, then the multiplication.
$4x + 8 = 64$
2
Subtract 8 from both sides:
$4x + 8 - 8 = 64 - 8 \ \Rightarrow\ 4x = 56$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{56}{4} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$4\cdot14 + 8 = 56 + 8 = 64 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 8 = 64\ \Rightarrow\ x = 14 \]
\[ 4x + 8 = 64 \]
\[ 4x + 8 - 8 = 64 - 8 \ \Rightarrow\ 4x = 56 \]
\[ \frac{4x}{4} = \frac{56}{4} \ \Rightarrow\ x = 14 \]
\[ 4\cdot14 + 8 = 56 + 8 = 64 \checkmark \]

Trying values of x in 4x + 8 = 64

x	4x + 8	Equals 64?
12	56	no
13	60	no
14	64	yes
15	68	no
16	72	no

Questions

What is x in 4x + 8 = 64?

The solution of 4x + 8 = 64 is x = 14.

How do you solve 4x + 8 = 64?

Subtract 8 from both sides to get 4x = 56, then divide both sides by 4 to get x = 14.

How do I check the answer?

Replace x by 14: 4(14) + 8 = 64, which is 64.

Solve 4x + 8 = 64

How to work it out

Trying values of x in 4x + 8 = 64

Questions

Similar equations