What is the answer to (3x)/5 =(x+1)/2 ?

The answer to (3x)/5 =(x+1)/2 is x=5

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(3x)/5 =(x+1)/2

\frac{3 x}{5} = \frac{x + 1}{2}

x = 5

Solution steps

\frac{3 x}{5} = \frac{x + 1}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

3 x \cdot 2 = 5 (x + 1)

Simplify

6 x = 5 (x + 1)

Expand

5 (x + 1) : 5 x + 5

6 x = 5 x + 5

Move

5 x

to the left side

x = 5

\frac{1}{2} - \frac{3}{2}

lo g_{4} (4)

(5^{\frac{2}{3}})^{\frac{1}{2}}

\frac{5}{4} \cdot 8

- x^{3} + 4 x