Solve 7x − 14 = 105

The solution of 7x − 14 = 105 is x = 17.

7x - 14 = 105\ \Rightarrow\ x = 17

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

The lines y = 7x − 14 and y = 105 meet at x = 17. 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.
$7x - 14 = 105$
2
Add 14 to both sides:
$7x - 14 + 14 = 105 + 14 \ \Rightarrow\ 7x = 119$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$7\cdot17 - 14 = 119 - 14 = 105 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 14 = 105\ \Rightarrow\ x = 17 \]
\[ 7x - 14 = 105 \]
\[ 7x - 14 + 14 = 105 + 14 \ \Rightarrow\ 7x = 119 \]
\[ \frac{7x}{7} = \frac{119}{7} \ \Rightarrow\ x = 17 \]
\[ 7\cdot17 - 14 = 119 - 14 = 105 \checkmark \]

Trying values of x in 7x − 14 = 105

x	7x − 14	Equals 105?
15	91	no
16	98	no
17	105	yes
18	112	no
19	119	no

Questions

What is x in 7x − 14 = 105?

The solution of 7x − 14 = 105 is x = 17.

How do you solve 7x − 14 = 105?

Add 14 to both sides to get 7x = 119, then divide both sides by 7 to get x = 17.

How do I check the answer?

Replace x by 17: 7(17) − 14 = 105, which is 105.

Solve 7x − 14 = 105

How to work it out

Trying values of x in 7x − 14 = 105

Questions

Similar equations