What is the answer to (7x+3)/2 =(9x-8)/4 ?

The answer to (7x+3)/2 =(9x-8)/4 is x=-14/5

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(7x+3)/2 =(9x-8)/4

\frac{7 x + 3}{2} = \frac{9 x - 8}{4}

x = - \frac{14}{5}

Decimal Notation

x = - 2.8

Solution steps

\frac{7 x + 3}{2} = \frac{9 x - 8}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(7 x + 3) \cdot 4 = 2 (9 x - 8)

Expand

(7 x + 3) \cdot 4 : 28 x + 12

Expand

2 (9 x - 8) : 18 x - 16

28 x + 12 = 18 x - 16

Move

12

to the right side

28 x = 18 x - 28

Move

18 x

to the left side

10 x = - 28

Divide both sides by

10

x = - \frac{14}{5}

ln (4^{3} + 4) = x^{2} + ln (2)

x^{3} + x^{2} - 32 x - 60

4 \leq x \leq 8

z^{3} - 27

x = 5 - 7

What is the answer to (7x+3)/2 =(9x-8)/4 ?
The answer to (7x+3)/2 =(9x-8)/4 is x=-14/5
Solve for x: (7x+3)/2 =(9x-8)/4
The solution is x=-14/5