Solve 7x + 8 = 36

The solution of 7x + 8 = 36 is x = 4.

7x + 8 = 36\ \Rightarrow\ x = 4

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

The lines y = 7x + 8 and y = 36 meet at x = 4. 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.
$7x + 8 = 36$
2
Subtract 8 from both sides:
$7x + 8 - 8 = 36 - 8 \ \Rightarrow\ 7x = 28$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4$
4
Check: put x = 4 back into the equation.
$7\cdot4 + 8 = 28 + 8 = 36 \checkmark$

LaTeX source of the formulas on this page

\[ 7x + 8 = 36\ \Rightarrow\ x = 4 \]
\[ 7x + 8 = 36 \]
\[ 7x + 8 - 8 = 36 - 8 \ \Rightarrow\ 7x = 28 \]
\[ \frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4 \]
\[ 7\cdot4 + 8 = 28 + 8 = 36 \checkmark \]

Trying values of x in 7x + 8 = 36

x	7x + 8	Equals 36?
2	22	no
3	29	no
4	36	yes
5	43	no
6	50	no

Questions

What is x in 7x + 8 = 36?

The solution of 7x + 8 = 36 is x = 4.

How do you solve 7x + 8 = 36?

Subtract 8 from both sides to get 7x = 28, then divide both sides by 7 to get x = 4.

How do I check the answer?

Replace x by 4: 7(4) + 8 = 36, which is 36.

Solve 7x + 8 = 36

How to work it out

Trying values of x in 7x + 8 = 36

Questions

Similar equations