Solve 6x − 14 = 16

The solution of 6x − 14 = 16 is x = 5.

6x - 14 = 16\ \Rightarrow\ x = 5

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The lines y = 6x − 14 and y = 16 meet at x = 5. 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.
$6x - 14 = 16$
2
Add 14 to both sides:
$6x - 14 + 14 = 16 + 14 \ \Rightarrow\ 6x = 30$
3
Divide both sides by 6:
$\frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5$
4
Check: put x = 5 back into the equation.
$6\cdot5 - 14 = 30 - 14 = 16 \checkmark$

LaTeX source of the formulas on this page

\[ 6x - 14 = 16\ \Rightarrow\ x = 5 \]
\[ 6x - 14 = 16 \]
\[ 6x - 14 + 14 = 16 + 14 \ \Rightarrow\ 6x = 30 \]
\[ \frac{6x}{6} = \frac{30}{6} \ \Rightarrow\ x = 5 \]
\[ 6\cdot5 - 14 = 30 - 14 = 16 \checkmark \]

Trying values of x in 6x − 14 = 16

x	6x − 14	Equals 16?
3	4	no
4	10	no
5	16	yes
6	22	no
7	28	no

Questions

What is x in 6x − 14 = 16?

The solution of 6x − 14 = 16 is x = 5.

How do you solve 6x − 14 = 16?

Add 14 to both sides to get 6x = 30, then divide both sides by 6 to get x = 5.

How do I check the answer?

Replace x by 5: 6(5) − 14 = 16, which is 16.

Solve 6x − 14 = 16

How to work it out

Trying values of x in 6x − 14 = 16

Questions

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