Solve 6x − 12 = 102

The solution of 6x − 12 = 102 is x = 19.

6x - 12 = 102\ \Rightarrow\ x = 19

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The lines y = 6x − 12 and y = 102 meet at x = 19. 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.
$6x - 12 = 102$
2
Add 12 to both sides:
$6x - 12 + 12 = 102 + 12 \ \Rightarrow\ 6x = 114$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19$
4
Check: put x = 19 back into the equation.
$6\cdot19 - 12 = 114 - 12 = 102 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 12 = 102\ \Rightarrow\ x = 19 \]
\[ 6x - 12 = 102 \]
\[ 6x - 12 + 12 = 102 + 12 \ \Rightarrow\ 6x = 114 \]
\[ \frac{6x}{6} = \frac{114}{6} \ \Rightarrow\ x = 19 \]
\[ 6\cdot19 - 12 = 114 - 12 = 102 \checkmark \]

Trying values of x in 6x − 12 = 102

x	6x − 12	Equals 102?
17	90	no
18	96	no
19	102	yes
20	108	no
21	114	no

Questions

What is x in 6x − 12 = 102?

The solution of 6x − 12 = 102 is x = 19.

How do you solve 6x − 12 = 102?

Add 12 to both sides to get 6x = 114, then divide both sides by 6 to get x = 19.

How do I check the answer?

Replace x by 19: 6(19) − 12 = 102, which is 102.

Solve 6x − 12 = 102

How to work it out

Trying values of x in 6x − 12 = 102

Questions

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