What is the answer to (2x)/5 =(x+4)/3 ?

The answer to (2x)/5 =(x+4)/3 is x=20

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(2x)/5 =(x+4)/3

\frac{2 x}{5} = \frac{x + 4}{3}

x = 20

Solution steps

\frac{2 x}{5} = \frac{x + 4}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

2 x \cdot 3 = 5 (x + 4)

Simplify

6 x = 5 (x + 4)

Expand

5 (x + 4) : 5 x + 20

6 x = 5 x + 20

Move

5 x

to the left side

x = 20

1 + 2 x + x^{2} = 0

5 x^{2} + 50 x = - 125

X - 12 = 14

1 + \frac{0.25}{100}

x^{2} - 7 x + 12 = 0