Solve 11x − 4 = 172

The solution of 11x − 4 = 172 is x = 16.

11x - 4 = 172\ \Rightarrow\ x = 16

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The lines y = 11x − 4 and y = 172 meet at x = 16. 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.
$11x - 4 = 172$
2
Add 4 to both sides:
$11x - 4 + 4 = 172 + 4 \ \Rightarrow\ 11x = 176$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$11\cdot16 - 4 = 176 - 4 = 172 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 4 = 172\ \Rightarrow\ x = 16 \]
\[ 11x - 4 = 172 \]
\[ 11x - 4 + 4 = 172 + 4 \ \Rightarrow\ 11x = 176 \]
\[ \frac{11x}{11} = \frac{176}{11} \ \Rightarrow\ x = 16 \]
\[ 11\cdot16 - 4 = 176 - 4 = 172 \checkmark \]

Trying values of x in 11x − 4 = 172

x	11x − 4	Equals 172?
14	150	no
15	161	no
16	172	yes
17	183	no
18	194	no

Questions

What is x in 11x − 4 = 172?

The solution of 11x − 4 = 172 is x = 16.

How do you solve 11x − 4 = 172?

Add 4 to both sides to get 11x = 176, then divide both sides by 11 to get x = 16.

How do I check the answer?

Replace x by 16: 11(16) − 4 = 172, which is 172.

Solve 11x − 4 = 172

How to work it out

Trying values of x in 11x − 4 = 172

Questions

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