What is the answer to (2x)/4 =(5x+8)/2 ?

The answer to (2x)/4 =(5x+8)/2 is x=-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2x)/4 =(5x+8)/2

\frac{2 x}{4} = \frac{5 x + 8}{2}

x = - 2

Solution steps

\frac{2 x}{4} = \frac{5 x + 8}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

2 x \cdot 2 = 4 (5 x + 8)

Simplify

4 x = 4 (5 x + 8)

Expand

4 (5 x + 8) : 20 x + 32

4 x = 20 x + 32

Move

20 x

to the left side

- 16 x = 32

Divide both sides by

- 16

x = - 2

3 x = π

x, - 2 x + y = 11

a = \frac{1}{2} bh, b

x, 6 w - 11 x y = r^{4} w

- 2 (5 x - 8) = 6 x