Solve 11x − 12 = 175

The solution of 11x − 12 = 175 is x = 17.

11x - 12 = 175\ \Rightarrow\ x = 17

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

The lines y = 11x − 12 and y = 175 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.
$11x - 12 = 175$
2
Add 12 to both sides:
$11x - 12 + 12 = 175 + 12 \ \Rightarrow\ 11x = 187$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$11\cdot17 - 12 = 187 - 12 = 175 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 12 = 175\ \Rightarrow\ x = 17 \]
\[ 11x - 12 = 175 \]
\[ 11x - 12 + 12 = 175 + 12 \ \Rightarrow\ 11x = 187 \]
\[ \frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17 \]
\[ 11\cdot17 - 12 = 187 - 12 = 175 \checkmark \]

Trying values of x in 11x − 12 = 175

x	11x − 12	Equals 175?
15	153	no
16	164	no
17	175	yes
18	186	no
19	197	no

Questions

What is x in 11x − 12 = 175?

The solution of 11x − 12 = 175 is x = 17.

How do you solve 11x − 12 = 175?

Add 12 to both sides to get 11x = 187, then divide both sides by 11 to get x = 17.

How do I check the answer?

Replace x by 17: 11(17) − 12 = 175, which is 175.

Solve 11x − 12 = 175

How to work it out

Trying values of x in 11x − 12 = 175

Questions

Similar equations