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

The answer to (x+4)/3 = x/5 is x=-10

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(x+4)/3 = x/5

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

x = - 10

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 4) \cdot 5 = 3 x

Expand

(x + 4) \cdot 5 : 5 x + 20

5 x + 20 = 3 x

Move

20

to the right side

5 x = 3 x - 20

Move

3 x

to the left side

2 x = - 20

Divide both sides by

2

x = - 10

- 2 (x - 5) = 40

(0.2) (10) = 0.05 x + 0.4 x

- 18 = 36 - t

u, s = uv - n

\frac{x}{3} = 5 + \frac{x - 35}{5}