Solve 4x − 14 = 14

The solution of 4x − 14 = 14 is x = 7.

4x - 14 = 14\ \Rightarrow\ x = 7

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The lines y = 4x − 14 and y = 14 meet at x = 7. 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.
$4x - 14 = 14$
2
Add 14 to both sides:
$4x - 14 + 14 = 14 + 14 \ \Rightarrow\ 4x = 28$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{28}{4} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$4\cdot7 - 14 = 28 - 14 = 14 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 14 = 14\ \Rightarrow\ x = 7 \]
\[ 4x - 14 = 14 \]
\[ 4x - 14 + 14 = 14 + 14 \ \Rightarrow\ 4x = 28 \]
\[ \frac{4x}{4} = \frac{28}{4} \ \Rightarrow\ x = 7 \]
\[ 4\cdot7 - 14 = 28 - 14 = 14 \checkmark \]

Trying values of x in 4x − 14 = 14

x	4x − 14	Equals 14?
5	6	no
6	10	no
7	14	yes
8	18	no
9	22	no

Questions

What is x in 4x − 14 = 14?

The solution of 4x − 14 = 14 is x = 7.

How do you solve 4x − 14 = 14?

Add 14 to both sides to get 4x = 28, then divide both sides by 4 to get x = 7.

How do I check the answer?

Replace x by 7: 4(7) − 14 = 14, which is 14.

Solve 4x − 14 = 14

How to work it out

Trying values of x in 4x − 14 = 14

Questions

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