Solve 7x − 10 = 95

The solution of 7x − 10 = 95 is x = 15.

7x - 10 = 95\ \Rightarrow\ x = 15

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

The lines y = 7x − 10 and y = 95 meet at x = 15. 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.
$7x - 10 = 95$
2
Add 10 to both sides:
$7x - 10 + 10 = 95 + 10 \ \Rightarrow\ 7x = 105$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{105}{7} \ \Rightarrow\ x = 15$
4
Check: put x = 15 back into the equation.
$7\cdot15 - 10 = 105 - 10 = 95 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 10 = 95\ \Rightarrow\ x = 15 \]
\[ 7x - 10 = 95 \]
\[ 7x - 10 + 10 = 95 + 10 \ \Rightarrow\ 7x = 105 \]
\[ \frac{7x}{7} = \frac{105}{7} \ \Rightarrow\ x = 15 \]
\[ 7\cdot15 - 10 = 105 - 10 = 95 \checkmark \]

Trying values of x in 7x − 10 = 95

x	7x − 10	Equals 95?
13	81	no
14	88	no
15	95	yes
16	102	no
17	109	no

Questions

What is x in 7x − 10 = 95?

The solution of 7x − 10 = 95 is x = 15.

How do you solve 7x − 10 = 95?

Add 10 to both sides to get 7x = 105, then divide both sides by 7 to get x = 15.

How do I check the answer?

Replace x by 15: 7(15) − 10 = 95, which is 95.

Solve 7x − 10 = 95

How to work it out

Trying values of x in 7x − 10 = 95

Questions

Similar equations