What is the answer to ((x/2)-2(x+7))/7 =((x-3))/4 ?

The answer to ((x/2)-2(x+7))/7 =((x-3))/4 is x=-35/13

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((x/2)-2(x+7))/7 =((x-3))/4

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

x = - \frac{35}{13}

Decimal Notation

x = - 2.69230 \dots

Solution steps

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

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

Simplify

4 (- \frac{3 x}{2} - 14) = 7 (x - 3)

Expand

4 (- \frac{3 x}{2} - 14) : - 6 x - 56

Expand

7 (x - 3) : 7 x - 21

- 6 x - 56 = 7 x - 21

Move

56

to the right side

- 6 x = 7 x + 35

Move

7 x

to the left side

- 13 x = 35

Divide both sides by

- 13

x = - \frac{35}{13}

- 3 x + 9 > 8 x - 6

14 x^{2} + 6 x = 5

15 x - 39 = 14 x - 43

2 v + 18 = 16 - 4 (v + 7)

5 x - 3 > 7 - 3 x

What is the answer to ((x/2)-2(x+7))/7 =((x-3))/4 ?
The answer to ((x/2)-2(x+7))/7 =((x-3))/4 is x=-35/13
Solve for x: ((x/2)-2(x+7))/7 =((x-3))/4
The solution is x=-35/13