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

The answer to (2(x-2))/2-3(x-1/4)=2(x-1/2) is x=-1/16

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

\frac{2 ( x - 2 )}{2} - 3 (x - \frac{1}{4}) = 2 (x - \frac{1}{2})

x = - \frac{1}{16}

Decimal Notation

x = - 0.0625

Solution steps

\frac{2 ( x - 2 )}{2} - 3 (x - \frac{1}{4}) = 2 (x - \frac{1}{2})

Divide the numbers:

\frac{2}{2} = 1

x - 2 - 3 (x - \frac{1}{4}) = 2 (x - \frac{1}{2})

Expand

x - 2 - 3 (x - \frac{1}{4}) : - 2 x - \frac{5}{4}

Expand

2 (x - \frac{1}{2}) : 2 x - 1

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

Move

\frac{5}{4}

to the right side

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

Move

2 x

to the left side

- 4 x = \frac{1}{4}

Divide both sides by

- 4

x = - \frac{1}{16}

y, x - 2 y = 10

320 = 2 (w + (w + 6))

7 - 2 x - \frac{1 - 3 x}{7} = 2 - \frac{2 x - 1}{3}

\frac{2 x}{3} = - 10

3 g = W

What is the answer to (2(x-2))/2-3(x-1/4)=2(x-1/2) ?
The answer to (2(x-2))/2-3(x-1/4)=2(x-1/2) is x=-1/16
Solve for x: (2(x-2))/2-3(x-1/4)=2(x-1/2)
The solution is x=-1/16