Solve 4x − 8 = 56

The solution of 4x − 8 = 56 is x = 16.

4x - 8 = 56\ \Rightarrow\ x = 16

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

The lines y = 4x − 8 and y = 56 meet at x = 16. 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.
$4x - 8 = 56$
2
Add 8 to both sides:
$4x - 8 + 8 = 56 + 8 \ \Rightarrow\ 4x = 64$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{64}{4} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$4\cdot16 - 8 = 64 - 8 = 56 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 8 = 56\ \Rightarrow\ x = 16 \]
\[ 4x - 8 = 56 \]
\[ 4x - 8 + 8 = 56 + 8 \ \Rightarrow\ 4x = 64 \]
\[ \frac{4x}{4} = \frac{64}{4} \ \Rightarrow\ x = 16 \]
\[ 4\cdot16 - 8 = 64 - 8 = 56 \checkmark \]

Trying values of x in 4x − 8 = 56

x	4x − 8	Equals 56?
14	48	no
15	52	no
16	56	yes
17	60	no
18	64	no

Questions

What is x in 4x − 8 = 56?

The solution of 4x − 8 = 56 is x = 16.

How do you solve 4x − 8 = 56?

Add 8 to both sides to get 4x = 64, then divide both sides by 4 to get x = 16.

How do I check the answer?

Replace x by 16: 4(16) − 8 = 56, which is 56.

Solve 4x − 8 = 56

How to work it out

Trying values of x in 4x − 8 = 56

Questions

Similar equations