What is the answer to (3x+8)/5 =(1-2x)/2 ?

The answer to (3x+8)/5 =(1-2x)/2 is x=-11/16

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(3x+8)/5 =(1-2x)/2

\frac{3 x + 8}{5} = \frac{1 - 2 x}{2}

x = - \frac{11}{16}

Solution steps

\frac{3 x + 8}{5} = \frac{1 - 2 x}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x + 8) \cdot 2 = 5 (1 - 2 x)

Expand

(3 x + 8) \cdot 2 : 6 x + 16

Expand

5 (1 - 2 x) : 5 - 10 x

6 x + 16 = 5 - 10 x

Move

16

to the right side

6 x = - 10 x - 11

Move

10 x

to the left side

16 x = - 11

Divide both sides by

16

x = - \frac{11}{16}

- 4 x + 2 (x + 4) = - 7 x - (x + 1) - 7 x - (x + 1)

5 (x + 1) + 9.4 = - 9.9

6 (y - 5) = 2 (10 + 3 y)

24 - 4 (x + 3) = 2 (10 x - 6)

8 x + 5 = b x - 7

What is the answer to (3x+8)/5 =(1-2x)/2 ?
The answer to (3x+8)/5 =(1-2x)/2 is x=-11/16
Solve for x: (3x+8)/5 =(1-2x)/2
The solution is x=-11/16