What is the answer to (9x+12)/4+(3x-2)/2 = 7/2 x ?

The answer to (9x+12)/4+(3x-2)/2 = 7/2 x is x=-8

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(9x+12)/4+(3x-2)/2 = 7/2 x

\frac{9 x + 12}{4} + \frac{3 x - 2}{2} = \frac{7}{2} x

x = - 8

Solution steps

\frac{9 x + 12}{4} + \frac{3 x - 2}{2} = \frac{7}{2} x

Multiply by LCM

9 x + 12 + 2 (3 x - 2) = 14 x

Expand

9 x + 12 + 2 (3 x - 2) : 15 x + 8

15 x + 8 = 14 x

Move

8

to the right side

15 x = 14 x - 8

Move

14 x

to the left side

x = - 8

x^{3} - 6 x^{2} + 9 x

\frac{12}{( 2 i ) ^{5}}

3 x^{2} - 4 x + 1 = 0

2 x^{2} - 72 = 0

\frac{2}{5} - 4

What is the answer to (9x+12)/4+(3x-2)/2 = 7/2 x ?
The answer to (9x+12)/4+(3x-2)/2 = 7/2 x is x=-8
Solve for x: (9x+12)/4+(3x-2)/2 = 7/2 x
The solution is x=-8