Solve 11x − 7 = 180

The solution of 11x − 7 = 180 is x = 17.

11x - 7 = 180\ \Rightarrow\ x = 17

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The lines y = 11x − 7 and y = 180 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.
$11x - 7 = 180$
2
Add 7 to both sides:
$11x - 7 + 7 = 180 + 7 \ \Rightarrow\ 11x = 187$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17$
4
Check: put x = 17 back into the equation.
$11\cdot17 - 7 = 187 - 7 = 180 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 7 = 180\ \Rightarrow\ x = 17 \]
\[ 11x - 7 = 180 \]
\[ 11x - 7 + 7 = 180 + 7 \ \Rightarrow\ 11x = 187 \]
\[ \frac{11x}{11} = \frac{187}{11} \ \Rightarrow\ x = 17 \]
\[ 11\cdot17 - 7 = 187 - 7 = 180 \checkmark \]

Trying values of x in 11x − 7 = 180

x	11x − 7	Equals 180?
15	158	no
16	169	no
17	180	yes
18	191	no
19	202	no

Questions

What is x in 11x − 7 = 180?

The solution of 11x − 7 = 180 is x = 17.

How do you solve 11x − 7 = 180?

Add 7 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) − 7 = 180, which is 180.

Solve 11x − 7 = 180

How to work it out

Trying values of x in 11x − 7 = 180

Questions

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