Solve 8x − 12 = 52

The solution of 8x − 12 = 52 is x = 8.

8x - 12 = 52\ \Rightarrow\ x = 8

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The lines y = 8x − 12 and y = 52 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 subtraction, then the multiplication.
$8x - 12 = 52$
2
Add 12 to both sides:
$8x - 12 + 12 = 52 + 12 \ \Rightarrow\ 8x = 64$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{64}{8} \ \Rightarrow\ x = 8$
4
Check: put x = 8 back into the equation.
$8\cdot8 - 12 = 64 - 12 = 52 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 12 = 52\ \Rightarrow\ x = 8 \]
\[ 8x - 12 = 52 \]
\[ 8x - 12 + 12 = 52 + 12 \ \Rightarrow\ 8x = 64 \]
\[ \frac{8x}{8} = \frac{64}{8} \ \Rightarrow\ x = 8 \]
\[ 8\cdot8 - 12 = 64 - 12 = 52 \checkmark \]

Trying values of x in 8x − 12 = 52

x	8x − 12	Equals 52?
6	36	no
7	44	no
8	52	yes
9	60	no
10	68	no

Questions

What is x in 8x − 12 = 52?

The solution of 8x − 12 = 52 is x = 8.

How do you solve 8x − 12 = 52?

Add 12 to both sides to get 8x = 64, then divide both sides by 8 to get x = 8.

How do I check the answer?

Replace x by 8: 8(8) − 12 = 52, which is 52.

Solve 8x − 12 = 52

How to work it out

Trying values of x in 8x − 12 = 52

Questions

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