What is the answer to 4(1/2 x-1/2)= 1/2 (8x+6) ?

The answer to 4(1/2 x-1/2)= 1/2 (8x+6) is x=-5/2

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4(1/2 x-1/2)= 1/2 (8x+6)

4 (\frac{1}{2} x - \frac{1}{2}) = \frac{1}{2} (8 x + 6)

x = - \frac{5}{2}

Decimal Notation

x = - 2.5

Solution steps

4 (\frac{1}{2} x - \frac{1}{2}) = \frac{1}{2} (8 x + 6)

Expand

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

Expand

\frac{1}{2} (8 x + 6) : 4 x + 3

2 x - 2 = 4 x + 3

Move

2

to the right side

2 x = 4 x + 5

Move

4 x

to the left side

- 2 x = 5

Divide both sides by

- 2

x = - \frac{5}{2}

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

y, 2 y + 4 = x

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

2 (a - x) + 3 = 2 x + 4 a

What is the answer to 4(1/2 x-1/2)= 1/2 (8x+6) ?
The answer to 4(1/2 x-1/2)= 1/2 (8x+6) is x=-5/2
Solve for x: 4(1/2 x-1/2)= 1/2 (8x+6)
The solution is x=-5/2