What is the answer to (3x-1)/5-(x-2)/2 =x+4 ?

The answer to (3x-1)/5-(x-2)/2 =x+4 is x=-32/9

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(3x-1)/5-(x-2)/2 =x+4

\frac{3 x - 1}{5} - \frac{x - 2}{2} = x + 4

x = - \frac{32}{9}

Decimal Notation

x = - 3.55555 \dots

Solution steps

\frac{3 x - 1}{5} - \frac{x - 2}{2} = x + 4

Multiply by LCM

2 (3 x - 1) - 5 (x - 2) = 10 x + 40

Expand

2 (3 x - 1) - 5 (x - 2) : x + 8

x + 8 = 10 x + 40

Move

8

to the right side

x = 10 x + 32

Move

10 x

to the left side

- 9 x = 32

Divide both sides by

- 9

x = - \frac{32}{9}

\frac{3 x}{4} = 9

2^{6}

\frac{- 7 n ^{2}}{- 14 n ^{2} - 35 n}

\frac{3}{8} x - \frac{1}{5} x + 10 = \frac{3}{10} x

What is the answer to (3x-1)/5-(x-2)/2 =x+4 ?
The answer to (3x-1)/5-(x-2)/2 =x+4 is x=-32/9
Solve for x: (3x-1)/5-(x-2)/2 =x+4
The solution is x=-32/9