Solve 11x − 1 = 153

The solution of 11x − 1 = 153 is x = 14.

11x - 1 = 153\ \Rightarrow\ x = 14

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The lines y = 11x − 1 and y = 153 meet at x = 14. 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.
$11x - 1 = 153$
2
Add 1 to both sides:
$11x - 1 + 1 = 153 + 1 \ \Rightarrow\ 11x = 154$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{154}{11} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$11\cdot14 - 1 = 154 - 1 = 153 \checkmark$

LaTeX source of the formulas on this page

\[ 11x - 1 = 153\ \Rightarrow\ x = 14 \]
\[ 11x - 1 = 153 \]
\[ 11x - 1 + 1 = 153 + 1 \ \Rightarrow\ 11x = 154 \]
\[ \frac{11x}{11} = \frac{154}{11} \ \Rightarrow\ x = 14 \]
\[ 11\cdot14 - 1 = 154 - 1 = 153 \checkmark \]

Trying values of x in 11x − 1 = 153

x	11x − 1	Equals 153?
12	131	no
13	142	no
14	153	yes
15	164	no
16	175	no

Questions

What is x in 11x − 1 = 153?

The solution of 11x − 1 = 153 is x = 14.

How do you solve 11x − 1 = 153?

Add 1 to both sides to get 11x = 154, then divide both sides by 11 to get x = 14.

How do I check the answer?

Replace x by 14: 11(14) − 1 = 153, which is 153.

Solve 11x − 1 = 153

How to work it out

Trying values of x in 11x − 1 = 153

Questions

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