What is the answer to (x+2)/3 =(2x-4)/2 ?

The answer to (x+2)/3 =(2x-4)/2 is x=4

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(x+2)/3 =(2x-4)/2

\frac{x + 2}{3} = \frac{2 x - 4}{2}

x = 4

Solution steps

\frac{x + 2}{3} = \frac{2 x - 4}{2}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(x + 2) \cdot 2 = 3 (2 x - 4)

Expand

(x + 2) \cdot 2 : 2 x + 4

Expand

3 (2 x - 4) : 6 x - 12

2 x + 4 = 6 x - 12

Move

4

to the right side

2 x = 6 x - 16

Move

6 x

to the left side

- 4 x = - 16

Divide both sides by

- 4

x = 4

(32)^{\frac{4}{5}}

x^{2} < x + 12

∣ x - 1 ∣ - ∣ x - 3 ∣ \geq 5

0 = 0.2 (180) + 9

What is the answer to (x+2)/3 =(2x-4)/2 ?
The answer to (x+2)/3 =(2x-4)/2 is x=4
Solve for x: (x+2)/3 =(2x-4)/2
The solution is x=4