Solve 12x + 12 = 180

The solution of 12x + 12 = 180 is x = 14.

12x + 12 = 180\ \Rightarrow\ x = 14

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The lines y = 12x + 12 and y = 180 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 addition, then the multiplication.
$12x + 12 = 180$
2
Subtract 12 from both sides:
$12x + 12 - 12 = 180 - 12 \ \Rightarrow\ 12x = 168$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$12\cdot14 + 12 = 168 + 12 = 180 \checkmark$

LaTeX source of the formulas on this page

\[ 12x + 12 = 180\ \Rightarrow\ x = 14 \]
\[ 12x + 12 = 180 \]
\[ 12x + 12 - 12 = 180 - 12 \ \Rightarrow\ 12x = 168 \]
\[ \frac{12x}{12} = \frac{168}{12} \ \Rightarrow\ x = 14 \]
\[ 12\cdot14 + 12 = 168 + 12 = 180 \checkmark \]

Trying values of x in 12x + 12 = 180

x	12x + 12	Equals 180?
12	156	no
13	168	no
14	180	yes
15	192	no
16	204	no

Questions

What is x in 12x + 12 = 180?

The solution of 12x + 12 = 180 is x = 14.

How do you solve 12x + 12 = 180?

Subtract 12 from 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) + 12 = 180, which is 180.

Solve 12x + 12 = 180

How to work it out

Trying values of x in 12x + 12 = 180

Questions

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