Solve 11x + 12 = 133

The solution of 11x + 12 = 133 is x = 11.

11x + 12 = 133\ \Rightarrow\ x = 11

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The lines y = 11x + 12 and y = 133 meet at x = 11. 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 addition, then the multiplication.
$11x + 12 = 133$
2
Subtract 12 from both sides:
$11x + 12 - 12 = 133 - 12 \ \Rightarrow\ 11x = 121$
3
Divide both sides by 11:
$\frac{11x}{11} = \frac{121}{11} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$11\cdot11 + 12 = 121 + 12 = 133 \checkmark$

LaTeX source of the formulas on this page

\[ 11x + 12 = 133\ \Rightarrow\ x = 11 \]
\[ 11x + 12 = 133 \]
\[ 11x + 12 - 12 = 133 - 12 \ \Rightarrow\ 11x = 121 \]
\[ \frac{11x}{11} = \frac{121}{11} \ \Rightarrow\ x = 11 \]
\[ 11\cdot11 + 12 = 121 + 12 = 133 \checkmark \]

Trying values of x in 11x + 12 = 133

x	11x + 12	Equals 133?
9	111	no
10	122	no
11	133	yes
12	144	no
13	155	no

Questions

What is x in 11x + 12 = 133?

The solution of 11x + 12 = 133 is x = 11.

How do you solve 11x + 12 = 133?

Subtract 12 from both sides to get 11x = 121, then divide both sides by 11 to get x = 11.

How do I check the answer?

Replace x by 11: 11(11) + 12 = 133, which is 133.

Solve 11x + 12 = 133

How to work it out

Trying values of x in 11x + 12 = 133

Questions

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