Solve 4x − 2 = 50

The solution of 4x − 2 = 50 is x = 13.

4x - 2 = 50\ \Rightarrow\ x = 13

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

The lines y = 4x − 2 and y = 50 meet at x = 13. 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.
$4x - 2 = 50$
2
Add 2 to both sides:
$4x - 2 + 2 = 50 + 2 \ \Rightarrow\ 4x = 52$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{52}{4} \ \Rightarrow\ x = 13$
4
Check: put x = 13 back into the equation.
$4\cdot13 - 2 = 52 - 2 = 50 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 2 = 50\ \Rightarrow\ x = 13 \]
\[ 4x - 2 = 50 \]
\[ 4x - 2 + 2 = 50 + 2 \ \Rightarrow\ 4x = 52 \]
\[ \frac{4x}{4} = \frac{52}{4} \ \Rightarrow\ x = 13 \]
\[ 4\cdot13 - 2 = 52 - 2 = 50 \checkmark \]

Trying values of x in 4x − 2 = 50

x	4x − 2	Equals 50?
11	42	no
12	46	no
13	50	yes
14	54	no
15	58	no

Questions

What is x in 4x − 2 = 50?

The solution of 4x − 2 = 50 is x = 13.

How do you solve 4x − 2 = 50?

Add 2 to both sides to get 4x = 52, then divide both sides by 4 to get x = 13.

How do I check the answer?

Replace x by 13: 4(13) − 2 = 50, which is 50.

Solve 4x − 2 = 50

How to work it out

Trying values of x in 4x − 2 = 50

Questions

Similar equations