What is the answer to (-5(3x-1))/4 =(7-x)/2 ?

The answer to (-5(3x-1))/4 =(7-x)/2 is x=-9/13

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(-5(3x-1))/4 =(7-x)/2

\frac{- 5 ( 3 x - 1 )}{4} = \frac{7 - x}{2}

x = - \frac{9}{13}

Solution steps

\frac{- 5 ( 3 x - 1 )}{4} = \frac{7 - x}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(- 5 (3 x - 1)) \cdot 2 = 4 (7 - x)

Simplify

- 10 (3 x - 1) = 4 (7 - x)

Expand

- 10 (3 x - 1) : - 30 x + 10

Expand

4 (7 - x) : 28 - 4 x

- 30 x + 10 = 28 - 4 x

Move

10

to the right side

- 30 x = - 4 x + 18

Move

4 x

to the left side

- 26 x = 18

Divide both sides by

- 26

x = - \frac{9}{13}

5 c^{2} + 5 c = 36

j^{2} - 6 j - 7

\frac{4 ( x - y )}{x - y}

x^{3} - 13 x^{2} + 47 x - 35

- 2 x^{2} = - 128

What is the answer to (-5(3x-1))/4 =(7-x)/2 ?
The answer to (-5(3x-1))/4 =(7-x)/2 is x=-9/13
Solve for x: (-5(3x-1))/4 =(7-x)/2
The solution is x=-9/13