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

The answer to (5w+4)/3 =(3w)/2 is w=-8

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

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

w = - 8

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Simplify

(5 w + 4) \cdot 2 = 9 w

Expand

(5 w + 4) \cdot 2 : 10 w + 8

10 w + 8 = 9 w

Move

8

to the right side

10 w = 9 w - 8

Move

9 w

to the left side

w = - 8

\frac{1}{2} (x - 1) - (x - 3) = \frac{1}{3} (x + 3) + \frac{1}{6}

2 (x^{2} - 3) - 8 = - 6

x^{2} - 10 x = 1

2 (\frac{48}{3})^{- \frac{1}{4}}

- 5 p + 15 > 5