What is the answer to (25-4x)/3 =(5x+12)/4+6 ?

The answer to (25-4x)/3 =(5x+12)/4+6 is x=-8/31

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(25-4x)/3 =(5x+12)/4+6

\frac{25 - 4 x}{3} = \frac{5 x + 12}{4} + 6

x = - \frac{8}{31}

Solution steps

\frac{25 - 4 x}{3} = \frac{5 x + 12}{4} + 6

Multiply by LCM

4 (- 4 x + 25) = 3 (5 x + 12) + 72

Expand

4 (- 4 x + 25) : - 16 x + 100

Expand

3 (5 x + 12) + 72 : 15 x + 108

- 16 x + 100 = 15 x + 108

Move

100

to the right side

- 16 x = 15 x + 8

Move

15 x

to the left side

- 31 x = 8

Divide both sides by

- 31

x = - \frac{8}{31}

3 x^{2} > 0

48 p^{2} - 168 p + 147

(- 5)^{2}

\frac{x}{4} = - 6

x + \frac{x}{3} = 100

What is the answer to (25-4x)/3 =(5x+12)/4+6 ?
The answer to (25-4x)/3 =(5x+12)/4+6 is x=-8/31
Solve for x: (25-4x)/3 =(5x+12)/4+6
The solution is x=-8/31