What is the answer to (3x)/2+1/4+2=(3x)/4-x/3 ?

The answer to (3x)/2+1/4+2=(3x)/4-x/3 is x=-27/13

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(3x)/2+1/4+2=(3x)/4-x/3

\frac{3 x}{2} + \frac{1}{4} + 2 = \frac{3 x}{4} - \frac{x}{3}

x = - \frac{27}{13}

Decimal Notation

x = - 2.07692 \dots

Solution steps

\frac{3 x}{2} + \frac{1}{4} + 2 = \frac{3 x}{4} - \frac{x}{3}

Combine the fractions

2 + \frac{1}{4} : \frac{9}{4}

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

Subtract

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

from both sides

\frac{9}{4} + \frac{3 x}{2} - (\frac{3 x}{4} - \frac{x}{3}) = \frac{3 x}{4} - \frac{x}{3} - (\frac{3 x}{4} - \frac{x}{3})

Simplify

\frac{9}{4} + \frac{13 x}{12} = 0

Move

\frac{9}{4}

to the right side

\frac{13 x}{12} = - \frac{9}{4}

Multiply both sides by

12

13 x = - 27

Divide both sides by

13

x = - \frac{27}{13}

15 b^{2} - 7 b - 2

(x - 1) (x - 3) (x - 5) < 0

5 \cdot 1 0^{6}

- \frac{32}{( 4 ) ^{3}} + \frac{4}{( 4 ) ^{2}}

2 x^{2} + 7 x - 9 = 0

What is the answer to (3x)/2+1/4+2=(3x)/4-x/3 ?
The answer to (3x)/2+1/4+2=(3x)/4-x/3 is x=-27/13
Solve for x: (3x)/2+1/4+2=(3x)/4-x/3
The solution is x=-27/13