What is the answer to (6-x)/3-(3+x)/2 =4 ?

The answer to (6-x)/3-(3+x)/2 =4 is x=-21/5

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

\frac{6 - x}{3} - \frac{3 + x}{2} = 4

x = - \frac{21}{5}

Decimal Notation

x = - 4.2

Solution steps

\frac{6 - x}{3} - \frac{3 + x}{2} = 4

Multiply by LCM

2 (- x + 6) - 3 (x + 3) = 24

Expand

2 (- x + 6) - 3 (x + 3) : - 5 x + 3

- 5 x + 3 = 24

Move

3

to the right side

- 5 x = 21

Divide both sides by

- 5

x = - \frac{21}{5}

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

3 (- \frac{1}{3})

\frac{3}{4} x + \frac{1}{4} x = 19

\frac{4 k + 3}{6} + \frac{4 k - 8}{9} = \frac{5 k - 4}{3} - \frac{k - 3}{2}

24 w^{2} - 24 w + 6 = 0

What is the answer to (6-x)/3-(3+x)/2 =4 ?
The answer to (6-x)/3-(3+x)/2 =4 is x=-21/5
Solve for x: (6-x)/3-(3+x)/2 =4
The solution is x=-21/5