Solve 4x − 4 = 24

The solution of 4x − 4 = 24 is x = 7.

4x - 4 = 24\ \Rightarrow\ x = 7

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The lines y = 4x − 4 and y = 24 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.
$4x - 4 = 24$
2
Add 4 to both sides:
$4x - 4 + 4 = 24 + 4 \ \Rightarrow\ 4x = 28$
3
Divide both sides by 4:
$\frac{4x}{4} = \frac{28}{4} \ \Rightarrow\ x = 7$
4
Check: put x = 7 back into the equation.
$4\cdot7 - 4 = 28 - 4 = 24 \checkmark$

LaTeX source of the formulas on this page

\[ 4x - 4 = 24\ \Rightarrow\ x = 7 \]
\[ 4x - 4 = 24 \]
\[ 4x - 4 + 4 = 24 + 4 \ \Rightarrow\ 4x = 28 \]
\[ \frac{4x}{4} = \frac{28}{4} \ \Rightarrow\ x = 7 \]
\[ 4\cdot7 - 4 = 28 - 4 = 24 \checkmark \]

Trying values of x in 4x − 4 = 24

x	4x − 4	Equals 24?
5	16	no
6	20	no
7	24	yes
8	28	no
9	32	no

Questions

What is x in 4x − 4 = 24?

The solution of 4x − 4 = 24 is x = 7.

How do you solve 4x − 4 = 24?

Add 4 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) − 4 = 24, which is 24.

Solve 4x − 4 = 24

How to work it out

Trying values of x in 4x − 4 = 24

Questions

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