Solve 12x − 11 = 157

The solution of 12x − 11 = 157 is x = 14.

12x - 11 = 157\ \Rightarrow\ x = 14

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The lines y = 12x − 11 and y = 157 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.
$12x - 11 = 157$
2
Add 11 to both sides:
$12x - 11 + 11 = 157 + 11 \ \Rightarrow\ 12x = 168$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$12\cdot14 - 11 = 168 - 11 = 157 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 11 = 157\ \Rightarrow\ x = 14 \]
\[ 12x - 11 = 157 \]
\[ 12x - 11 + 11 = 157 + 11 \ \Rightarrow\ 12x = 168 \]
\[ \frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14 \]
\[ 12\cdot14 - 11 = 168 - 11 = 157 \checkmark \]

Trying values of x in 12x − 11 = 157

x	12x − 11	Equals 157?
12	133	no
13	145	no
14	157	yes
15	169	no
16	181	no

Questions

What is x in 12x − 11 = 157?

The solution of 12x − 11 = 157 is x = 14.

How do you solve 12x − 11 = 157?

Add 11 to both sides to get 12x = 168, then divide both sides by 12 to get x = 14.

How do I check the answer?

Replace x by 14: 12(14) − 11 = 157, which is 157.

Solve 12x − 11 = 157

How to work it out

Trying values of x in 12x − 11 = 157

Questions

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