Solve 8x − 12 = 60

The solution of 8x − 12 = 60 is x = 9.

8x - 12 = 60\ \Rightarrow\ x = 9

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The lines y = 8x − 12 and y = 60 meet at x = 9. 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.
$8x - 12 = 60$
2
Add 12 to both sides:
$8x - 12 + 12 = 60 + 12 \ \Rightarrow\ 8x = 72$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9$
4
Check: put x = 9 back into the equation.
$8\cdot9 - 12 = 72 - 12 = 60 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 12 = 60\ \Rightarrow\ x = 9 \]
\[ 8x - 12 = 60 \]
\[ 8x - 12 + 12 = 60 + 12 \ \Rightarrow\ 8x = 72 \]
\[ \frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9 \]
\[ 8\cdot9 - 12 = 72 - 12 = 60 \checkmark \]

Trying values of x in 8x − 12 = 60

x	8x − 12	Equals 60?
7	44	no
8	52	no
9	60	yes
10	68	no
11	76	no

Questions

What is x in 8x − 12 = 60?

The solution of 8x − 12 = 60 is x = 9.

How do you solve 8x − 12 = 60?

Add 12 to both sides to get 8x = 72, then divide both sides by 8 to get x = 9.

How do I check the answer?

Replace x by 9: 8(9) − 12 = 60, which is 60.

Solve 8x − 12 = 60

How to work it out

Trying values of x in 8x − 12 = 60

Questions

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