Solve 4x + 8 = 76

The solution of 4x + 8 = 76 is x = 17.

4x + 8 = 76\ \Rightarrow\ x = 17

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

The lines y = 4x + 8 and y = 76 meet at x = 17. 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.
$4x + 8 = 76$
2
Subtract 8 from both sides:
$4x + 8 - 8 = 76 - 8 \ \Rightarrow\ 4x = 68$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{68}{4} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$4\cdot17 + 8 = 68 + 8 = 76 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 8 = 76\ \Rightarrow\ x = 17 \]
\[ 4x + 8 = 76 \]
\[ 4x + 8 - 8 = 76 - 8 \ \Rightarrow\ 4x = 68 \]
\[ \frac{4x}{4} = \frac{68}{4} \ \Rightarrow\ x = 17 \]
\[ 4\cdot17 + 8 = 68 + 8 = 76 \checkmark \]

Trying values of x in 4x + 8 = 76

x	4x + 8	Equals 76?
15	68	no
16	72	no
17	76	yes
18	80	no
19	84	no

Questions

What is x in 4x + 8 = 76?

The solution of 4x + 8 = 76 is x = 17.

How do you solve 4x + 8 = 76?

Subtract 8 from both sides to get 4x = 68, then divide both sides by 4 to get x = 17.

How do I check the answer?

Replace x by 17: 4(17) + 8 = 76, which is 76.

Solve 4x + 8 = 76

How to work it out

Trying values of x in 4x + 8 = 76

Questions

Similar equations