What is the answer to 2(2x-1/2)= 1/7 (1-x/2) ?

The answer to 2(2x-1/2)= 1/7 (1-x/2) is x= 16/57

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2(2x-1/2)= 1/7 (1-x/2)

2 (2 x - \frac{1}{2}) = \frac{1}{7} (1 - \frac{x}{2})

x = \frac{16}{57}

Decimal Notation

x = 0.28070 \dots

Solution steps

2 (2 x - \frac{1}{2}) = \frac{1}{7} (1 - \frac{x}{2})

Expand

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

Expand

\frac{1}{7} (1 - \frac{x}{2}) : \frac{1}{7} - \frac{x}{14}

4 x - 1 = \frac{1}{7} - \frac{x}{14}

Multiply both sides by

14

56 x - 14 = 2 - x

Move

14

to the right side

56 x = - x + 16

Move

x

to the left side

57 x = 16

Divide both sides by

57

x = \frac{16}{57}

π (12)^{2}

\frac{3}{16} \cdot 4

k^{4} + 6 k^{3} + 13 k^{2} + 12 k + 4

(2 x + 3)^{3} - (x - 4)^{3}

x^{2} + 15 x + 56 = 0

What is the answer to 2(2x-1/2)= 1/7 (1-x/2) ?
The answer to 2(2x-1/2)= 1/7 (1-x/2) is x= 16/57
Solve for x: 2(2x-1/2)= 1/7 (1-x/2)
The solution is x= 16/57