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

The answer to (2x-3)/2 =(4x)/3 is x=-9/2

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(2x-3)/2 =(4x)/3

\frac{2 x - 3}{2} = \frac{4 x}{3}

x = - \frac{9}{2}

Decimal Notation

x = - 4.5

Solution steps

\frac{2 x - 3}{2} = \frac{4 x}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x - 3) \cdot 3 = 2 \cdot 4 x

Simplify

(2 x - 3) \cdot 3 = 8 x

Expand

(2 x - 3) \cdot 3 : 6 x - 9

6 x - 9 = 8 x

Move

9

to the right side

6 x = 8 x + 9

Move

8 x

to the left side

- 2 x = 9

Divide both sides by

- 2

x = - \frac{9}{2}

20 - 4 x = 16

6 (x - 4) 2 + 40 = 16

20 - 4 x = 6 x

\frac{1}{5} (x + 3) - \frac{1}{4} (x + 3) = - 4

\frac{x}{- 5} = 2

What is the answer to (2x-3)/2 =(4x)/3 ?
The answer to (2x-3)/2 =(4x)/3 is x=-9/2
Solve for x: (2x-3)/2 =(4x)/3
The solution is x=-9/2