Solve 7x − 14 = 0

The solution of 7x − 14 = 0 is x = 2.

7x - 14 = 0\ \Rightarrow\ x = 2

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The lines y = 7x − 14 and y = 0 meet at x = 2. 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.
$7x - 14 = 0$
2
Add 14 to both sides:
$7x - 14 + 14 = 0 + 14 \ \Rightarrow\ 7x = 14$
3
Divide both sides by 7:
$\frac{7x}{7} = \frac{14}{7} \ \Rightarrow\ x = 2$
4
Check: put x = 2 back into the equation.
$7\cdot2 - 14 = 14 - 14 = 0 \checkmark$

LaTeX source of the formulas on this page

\[ 7x - 14 = 0\ \Rightarrow\ x = 2 \]
\[ 7x - 14 = 0 \]
\[ 7x - 14 + 14 = 0 + 14 \ \Rightarrow\ 7x = 14 \]
\[ \frac{7x}{7} = \frac{14}{7} \ \Rightarrow\ x = 2 \]
\[ 7\cdot2 - 14 = 14 - 14 = 0 \checkmark \]

Trying values of x in 7x − 14 = 0

x	7x − 14	Equals 0?
0	-14	no
1	-7	no
2	0	yes
3	7	no
4	14	no

Questions

What is x in 7x − 14 = 0?

The solution of 7x − 14 = 0 is x = 2.

How do you solve 7x − 14 = 0?

Add 14 to both sides to get 7x = 14, then divide both sides by 7 to get x = 2.

How do I check the answer?

Replace x by 2: 7(2) − 14 = 0, which is 0.

Solve 7x − 14 = 0

How to work it out

Trying values of x in 7x − 14 = 0

Questions

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