Solve 12x − 14 = 178

The solution of 12x − 14 = 178 is x = 16.

12x - 14 = 178\ \Rightarrow\ x = 16

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The lines y = 12x − 14 and y = 178 meet at x = 16. 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.
$12x - 14 = 178$
2
Add 14 to both sides:
$12x - 14 + 14 = 178 + 14 \ \Rightarrow\ 12x = 192$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{192}{12} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$12\cdot16 - 14 = 192 - 14 = 178 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 14 = 178\ \Rightarrow\ x = 16 \]
\[ 12x - 14 = 178 \]
\[ 12x - 14 + 14 = 178 + 14 \ \Rightarrow\ 12x = 192 \]
\[ \frac{12x}{12} = \frac{192}{12} \ \Rightarrow\ x = 16 \]
\[ 12\cdot16 - 14 = 192 - 14 = 178 \checkmark \]

Trying values of x in 12x − 14 = 178

x	12x − 14	Equals 178?
14	154	no
15	166	no
16	178	yes
17	190	no
18	202	no

Questions

What is x in 12x − 14 = 178?

The solution of 12x − 14 = 178 is x = 16.

How do you solve 12x − 14 = 178?

Add 14 to both sides to get 12x = 192, then divide both sides by 12 to get x = 16.

How do I check the answer?

Replace x by 16: 12(16) − 14 = 178, which is 178.

Solve 12x − 14 = 178

How to work it out

Trying values of x in 12x − 14 = 178

Questions

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