Solve 7x − 10 = 74

The solution of 7x − 10 = 74 is x = 12.

7x - 10 = 74\ \Rightarrow\ x = 12

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

The lines y = 7x − 10 and y = 74 meet at x = 12. 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.
$7x - 10 = 74$
2
Add 10 to both sides:
$7x - 10 + 10 = 74 + 10 \ \Rightarrow\ 7x = 84$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{84}{7} \ \Rightarrow\ x = 12$
4
Check: put x = 12 back into the equation.
$7\cdot12 - 10 = 84 - 10 = 74 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 10 = 74\ \Rightarrow\ x = 12 \]
\[ 7x - 10 = 74 \]
\[ 7x - 10 + 10 = 74 + 10 \ \Rightarrow\ 7x = 84 \]
\[ \frac{7x}{7} = \frac{84}{7} \ \Rightarrow\ x = 12 \]
\[ 7\cdot12 - 10 = 84 - 10 = 74 \checkmark \]

Trying values of x in 7x − 10 = 74

x	7x − 10	Equals 74?
10	60	no
11	67	no
12	74	yes
13	81	no
14	88	no

Questions

What is x in 7x − 10 = 74?

The solution of 7x − 10 = 74 is x = 12.

How do you solve 7x − 10 = 74?

Add 10 to both sides to get 7x = 84, then divide both sides by 7 to get x = 12.

How do I check the answer?

Replace x by 12: 7(12) − 10 = 74, which is 74.

Solve 7x − 10 = 74

How to work it out

Trying values of x in 7x − 10 = 74

Questions

Similar equations