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

The answer to 2x(3-4)-(x-2)/5 = 1/2 [x+3-(x-1)/2 ] is x=-27/49

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

2 x (3 - 4) - \frac{x - 2}{5} = \frac{1}{2} [x + 3 - \frac{x - 1}{2}]

x = - \frac{27}{49}

Decimal Notation

x = - 0.55102 \dots

Solution steps

2 x (3 - 4) - \frac{x - 2}{5} = \frac{1}{2} [x + 3 - \frac{x - 1}{2}]

2 x (3 - 4) = - 2 x

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

Expand

- 2 x - \frac{x - 2}{5} : - \frac{11 x}{5} + \frac{2}{5}

Expand

\frac{1}{2} (x + 3 - \frac{x - 1}{2}) : \frac{x}{4} + \frac{7}{4}

- \frac{11 x}{5} + \frac{2}{5} = \frac{x}{4} + \frac{7}{4}

Multiply by LCM

- 44 x + 8 = 5 x + 35

Move

8

to the right side

- 44 x = 5 x + 27

Move

5 x

to the left side

- 49 x = 27

Divide both sides by

- 49

x = - \frac{27}{49}

2 x + 2

\frac{9}{( - 2 ) ^{2}}

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

14 x^{2} + 56 x = 0

What is the answer to 2x(3-4)-(x-2)/5 = 1/2 [x+3-(x-1)/2 ] ?
The answer to 2x(3-4)-(x-2)/5 = 1/2 [x+3-(x-1)/2 ] is x=-27/49
Solve for x: 2x(3-4)-(x-2)/5 = 1/2 [x+3-(x-1)/2 ]
The solution is x=-27/49