Solve 6x − 6 = 102

The solution of 6x − 6 = 102 is x = 18.

6x - 6 = 102\ \Rightarrow\ x = 18

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The lines y = 6x − 6 and y = 102 meet at x = 18. 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.
$6x - 6 = 102$
2
Add 6 to both sides:
$6x - 6 + 6 = 102 + 6 \ \Rightarrow\ 6x = 108$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$6\cdot18 - 6 = 108 - 6 = 102 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 6 = 102\ \Rightarrow\ x = 18 \]
\[ 6x - 6 = 102 \]
\[ 6x - 6 + 6 = 102 + 6 \ \Rightarrow\ 6x = 108 \]
\[ \frac{6x}{6} = \frac{108}{6} \ \Rightarrow\ x = 18 \]
\[ 6\cdot18 - 6 = 108 - 6 = 102 \checkmark \]

Trying values of x in 6x − 6 = 102

x	6x − 6	Equals 102?
16	90	no
17	96	no
18	102	yes
19	108	no
20	114	no

Questions

What is x in 6x − 6 = 102?

The solution of 6x − 6 = 102 is x = 18.

How do you solve 6x − 6 = 102?

Add 6 to both sides to get 6x = 108, then divide both sides by 6 to get x = 18.

How do I check the answer?

Replace x by 18: 6(18) − 6 = 102, which is 102.

Solve 6x − 6 = 102

How to work it out

Trying values of x in 6x − 6 = 102

Questions

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