Solve 4x − 10 = 46

The solution of 4x − 10 = 46 is x = 14.

4x - 10 = 46\ \Rightarrow\ x = 14

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

The lines y = 4x − 10 and y = 46 meet at x = 14. 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.
$4x - 10 = 46$
2
Add 10 to both sides:
$4x - 10 + 10 = 46 + 10 \ \Rightarrow\ 4x = 56$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{56}{4} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$4\cdot14 - 10 = 56 - 10 = 46 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 10 = 46\ \Rightarrow\ x = 14 \]
\[ 4x - 10 = 46 \]
\[ 4x - 10 + 10 = 46 + 10 \ \Rightarrow\ 4x = 56 \]
\[ \frac{4x}{4} = \frac{56}{4} \ \Rightarrow\ x = 14 \]
\[ 4\cdot14 - 10 = 56 - 10 = 46 \checkmark \]

Trying values of x in 4x − 10 = 46

x	4x − 10	Equals 46?
12	38	no
13	42	no
14	46	yes
15	50	no
16	54	no

Questions

What is x in 4x − 10 = 46?

The solution of 4x − 10 = 46 is x = 14.

How do you solve 4x − 10 = 46?

Add 10 to both sides to get 4x = 56, then divide both sides by 4 to get x = 14.

How do I check the answer?

Replace x by 14: 4(14) − 10 = 46, which is 46.

Solve 4x − 10 = 46

How to work it out

Trying values of x in 4x − 10 = 46

Questions

Similar equations