Solve 8x − 12 = 100

The solution of 8x − 12 = 100 is x = 14.

8x - 12 = 100\ \Rightarrow\ x = 14

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The lines y = 8x − 12 and y = 100 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 subtraction, then the multiplication.
$8x - 12 = 100$
2
Add 12 to both sides:
$8x - 12 + 12 = 100 + 12 \ \Rightarrow\ 8x = 112$
3
Divide both sides by 8:
$\frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14$
4
Check: put x = 14 back into the equation.
$8\cdot14 - 12 = 112 - 12 = 100 \checkmark$

LaTeX source of the formulas on this page

\[ 8x - 12 = 100\ \Rightarrow\ x = 14 \]
\[ 8x - 12 = 100 \]
\[ 8x - 12 + 12 = 100 + 12 \ \Rightarrow\ 8x = 112 \]
\[ \frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14 \]
\[ 8\cdot14 - 12 = 112 - 12 = 100 \checkmark \]

Trying values of x in 8x − 12 = 100

x	8x − 12	Equals 100?
12	84	no
13	92	no
14	100	yes
15	108	no
16	116	no

Questions

What is x in 8x − 12 = 100?

The solution of 8x − 12 = 100 is x = 14.

How do you solve 8x − 12 = 100?

Add 12 to both sides to get 8x = 112, then divide both sides by 8 to get x = 14.

How do I check the answer?

Replace x by 14: 8(14) − 12 = 100, which is 100.

Solve 8x − 12 = 100

How to work it out

Trying values of x in 8x − 12 = 100

Questions

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