Solve 4x + 14 = 22

The solution of 4x + 14 = 22 is x = 2.

4x + 14 = 22\ \Rightarrow\ x = 2

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

The lines y = 4x + 14 and y = 22 meet at x = 2. 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.
$4x + 14 = 22$
2
Subtract 14 from both sides:
$4x + 14 - 14 = 22 - 14 \ \Rightarrow\ 4x = 8$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{8}{4} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$4\cdot2 + 14 = 8 + 14 = 22 \checkmark$

LaTeX source of the formulas on this page

\[ 4x + 14 = 22\ \Rightarrow\ x = 2 \]
\[ 4x + 14 = 22 \]
\[ 4x + 14 - 14 = 22 - 14 \ \Rightarrow\ 4x = 8 \]
\[ \frac{4x}{4} = \frac{8}{4} \ \Rightarrow\ x = 2 \]
\[ 4\cdot2 + 14 = 8 + 14 = 22 \checkmark \]

Trying values of x in 4x + 14 = 22

x	4x + 14	Equals 22?
0	14	no
1	18	no
2	22	yes
3	26	no
4	30	no

Questions

What is x in 4x + 14 = 22?

The solution of 4x + 14 = 22 is x = 2.

How do you solve 4x + 14 = 22?

Subtract 14 from both sides to get 4x = 8, then divide both sides by 4 to get x = 2.

How do I check the answer?

Replace x by 2: 4(2) + 14 = 22, which is 22.

Solve 4x + 14 = 22

How to work it out

Trying values of x in 4x + 14 = 22

Questions

Similar equations