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

The answer to (2x)/3 =(x+5)/2 is x=15

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

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

x = 15

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Simplify

4 x = 3 (x + 5)

Expand

3 (x + 5) : 3 x + 15

4 x = 3 x + 15

Move

3 x

to the left side

x = 15

3 x^{2} + 10 x + 1 = 0

(3 x - 8) (x + 1) = 3

3 x^{2} - 6 x - 3 = 0

- z = 2

∣ x - 2 ∣ = ∣ 3 x + 5 ∣