Solve 12x + 12 = 108

The solution of 12x + 12 = 108 is x = 8.

12x + 12 = 108\ \Rightarrow\ x = 8

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The lines y = 12x + 12 and y = 108 meet at x = 8. 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.
$12x + 12 = 108$
2
Subtract 12 from both sides:
$12x + 12 - 12 = 108 - 12 \ \Rightarrow\ 12x = 96$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$12\cdot8 + 12 = 96 + 12 = 108 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 12 = 108\ \Rightarrow\ x = 8 \]
\[ 12x + 12 = 108 \]
\[ 12x + 12 - 12 = 108 - 12 \ \Rightarrow\ 12x = 96 \]
\[ \frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8 \]
\[ 12\cdot8 + 12 = 96 + 12 = 108 \checkmark \]

Trying values of x in 12x + 12 = 108

x	12x + 12	Equals 108?
6	84	no
7	96	no
8	108	yes
9	120	no
10	132	no

Questions

What is x in 12x + 12 = 108?

The solution of 12x + 12 = 108 is x = 8.

How do you solve 12x + 12 = 108?

Subtract 12 from both sides to get 12x = 96, then divide both sides by 12 to get x = 8.

How do I check the answer?

Replace x by 8: 12(8) + 12 = 108, which is 108.

Solve 12x + 12 = 108

How to work it out

Trying values of x in 12x + 12 = 108

Questions

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