Solve 6x − 3 = 93

The solution of 6x − 3 = 93 is x = 16.

6x - 3 = 93\ \Rightarrow\ x = 16

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The lines y = 6x − 3 and y = 93 meet at x = 16. 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.
$6x - 3 = 93$
2
Add 3 to both sides:
$6x - 3 + 3 = 93 + 3 \ \Rightarrow\ 6x = 96$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{96}{6} \ \Rightarrow\ x = 16$
4
Check: put x = 16 back into the equation.
$6\cdot16 - 3 = 96 - 3 = 93 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 3 = 93\ \Rightarrow\ x = 16 \]
\[ 6x - 3 = 93 \]
\[ 6x - 3 + 3 = 93 + 3 \ \Rightarrow\ 6x = 96 \]
\[ \frac{6x}{6} = \frac{96}{6} \ \Rightarrow\ x = 16 \]
\[ 6\cdot16 - 3 = 96 - 3 = 93 \checkmark \]

Trying values of x in 6x − 3 = 93

x	6x − 3	Equals 93?
14	81	no
15	87	no
16	93	yes
17	99	no
18	105	no

Questions

What is x in 6x − 3 = 93?

The solution of 6x − 3 = 93 is x = 16.

How do you solve 6x − 3 = 93?

Add 3 to both sides to get 6x = 96, then divide both sides by 6 to get x = 16.

How do I check the answer?

Replace x by 16: 6(16) − 3 = 93, which is 93.

Solve 6x − 3 = 93

How to work it out

Trying values of x in 6x − 3 = 93

Questions

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