Solve 12x − 7 = 17

The solution of 12x − 7 = 17 is x = 2.

12x - 7 = 17\ \Rightarrow\ x = 2

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The lines y = 12x − 7 and y = 17 meet at x = 2. 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.
$12x - 7 = 17$
2
Add 7 to both sides:
$12x - 7 + 7 = 17 + 7 \ \Rightarrow\ 12x = 24$
3
Divide both sides by 12:
$\frac{12x}{12} = \frac{24}{12} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$12\cdot2 - 7 = 24 - 7 = 17 \checkmark$

LaTeX source of the formulas on this page

\[ 12x - 7 = 17\ \Rightarrow\ x = 2 \]
\[ 12x - 7 = 17 \]
\[ 12x - 7 + 7 = 17 + 7 \ \Rightarrow\ 12x = 24 \]
\[ \frac{12x}{12} = \frac{24}{12} \ \Rightarrow\ x = 2 \]
\[ 12\cdot2 - 7 = 24 - 7 = 17 \checkmark \]

Trying values of x in 12x − 7 = 17

x	12x − 7	Equals 17?
0	-7	no
1	5	no
2	17	yes
3	29	no
4	41	no

Questions

What is x in 12x − 7 = 17?

The solution of 12x − 7 = 17 is x = 2.

How do you solve 12x − 7 = 17?

Add 7 to both sides to get 12x = 24, then divide both sides by 12 to get x = 2.

How do I check the answer?

Replace x by 2: 12(2) − 7 = 17, which is 17.

Solve 12x − 7 = 17

How to work it out

Trying values of x in 12x − 7 = 17

Questions

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