Solve 2x − 4 = 32

The solution of 2x − 4 = 32 is x = 18.

2x - 4 = 32\ \Rightarrow\ x = 18

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The lines y = 2x − 4 and y = 32 meet at x = 18. 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.
$2x - 4 = 32$
2
Add 4 to both sides:
$2x - 4 + 4 = 32 + 4 \ \Rightarrow\ 2x = 36$
3
Divide both sides by 2:
$\frac{2x}{2} = \frac{36}{2} \ \Rightarrow\ x = 18$
4
Check: put x = 18 back into the equation.
$2\cdot18 - 4 = 36 - 4 = 32 \checkmark$

LaTeX source of the formulas on this page

\[ 2x - 4 = 32\ \Rightarrow\ x = 18 \]
\[ 2x - 4 = 32 \]
\[ 2x - 4 + 4 = 32 + 4 \ \Rightarrow\ 2x = 36 \]
\[ \frac{2x}{2} = \frac{36}{2} \ \Rightarrow\ x = 18 \]
\[ 2\cdot18 - 4 = 36 - 4 = 32 \checkmark \]

Trying values of x in 2x − 4 = 32

x	2x − 4	Equals 32?
16	28	no
17	30	no
18	32	yes
19	34	no
20	36	no

Questions

What is x in 2x − 4 = 32?

The solution of 2x − 4 = 32 is x = 18.

How do you solve 2x − 4 = 32?

Add 4 to both sides to get 2x = 36, then divide both sides by 2 to get x = 18.

How do I check the answer?

Replace x by 18: 2(18) − 4 = 32, which is 32.

Solve 2x − 4 = 32

How to work it out

Trying values of x in 2x − 4 = 32

Questions

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