Solve 12x − 8 = 124

The solution of 12x − 8 = 124 is x = 11.

12x - 8 = 124\ \Rightarrow\ x = 11

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The lines y = 12x − 8 and y = 124 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 subtraction, then the multiplication.
$12x - 8 = 124$
2
Add 8 to both sides:
$12x - 8 + 8 = 124 + 8 \ \Rightarrow\ 12x = 132$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{132}{12} \ \Rightarrow\ x = 11$
4
Check: put x = 11 back into the equation.
$12\cdot11 - 8 = 132 - 8 = 124 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 8 = 124\ \Rightarrow\ x = 11 \]
\[ 12x - 8 = 124 \]
\[ 12x - 8 + 8 = 124 + 8 \ \Rightarrow\ 12x = 132 \]
\[ \frac{12x}{12} = \frac{132}{12} \ \Rightarrow\ x = 11 \]
\[ 12\cdot11 - 8 = 132 - 8 = 124 \checkmark \]

Trying values of x in 12x − 8 = 124

x	12x − 8	Equals 124?
9	100	no
10	112	no
11	124	yes
12	136	no
13	148	no

Questions

What is x in 12x − 8 = 124?

The solution of 12x − 8 = 124 is x = 11.

How do you solve 12x − 8 = 124?

Add 8 to both sides to get 12x = 132, then divide both sides by 12 to get x = 11.

How do I check the answer?

Replace x by 11: 12(11) − 8 = 124, which is 124.

Solve 12x − 8 = 124

How to work it out

Trying values of x in 12x − 8 = 124

Questions

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