Solve 7x − 4 = 10

The solution of 7x − 4 = 10 is x = 2.

7x - 4 = 10\ \Rightarrow\ x = 2

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

The lines y = 7x − 4 and y = 10 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 subtraction, then the multiplication.
$7x - 4 = 10$
2
Add 4 to both sides:
$7x - 4 + 4 = 10 + 4 \ \Rightarrow\ 7x = 14$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{14}{7} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$7\cdot2 - 4 = 14 - 4 = 10 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 4 = 10\ \Rightarrow\ x = 2 \]
\[ 7x - 4 = 10 \]
\[ 7x - 4 + 4 = 10 + 4 \ \Rightarrow\ 7x = 14 \]
\[ \frac{7x}{7} = \frac{14}{7} \ \Rightarrow\ x = 2 \]
\[ 7\cdot2 - 4 = 14 - 4 = 10 \checkmark \]

Trying values of x in 7x − 4 = 10

x	7x − 4	Equals 10?
0	-4	no
1	3	no
2	10	yes
3	17	no
4	24	no

Questions

What is x in 7x − 4 = 10?

The solution of 7x − 4 = 10 is x = 2.

How do you solve 7x − 4 = 10?

Add 4 to both sides to get 7x = 14, then divide both sides by 7 to get x = 2.

How do I check the answer?

Replace x by 2: 7(2) − 4 = 10, which is 10.

Solve 7x − 4 = 10

How to work it out

Trying values of x in 7x − 4 = 10

Questions

Similar equations