What is the answer to (2b+14)/8 =(1-2b)/(12) ?

The answer to (2b+14)/8 =(1-2b)/(12) is b=-4

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(2b+14)/8 =(1-2b)/(12)

\frac{2 b + 14}{8} = \frac{1 - 2 b}{12}

b = - 4

Solution steps

\frac{2 b + 14}{8} = \frac{1 - 2 b}{12}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 b + 14) \cdot 12 = 8 (1 - 2 b)

Expand

(2 b + 14) \cdot 12 : 24 b + 168

Expand

8 (1 - 2 b) : 8 - 16 b

24 b + 168 = 8 - 16 b

Move

168

to the right side

24 b = - 16 b - 160

Move

16 b

to the left side

40 b = - 160

Divide both sides by

40

b = - 4

y, - 4 x + 8 y = 30

15 x - 7 = 52

x, \frac{1}{2} x = u (x) + 6

6 x = x - 2

y, \frac{x}{3} + \frac{y}{2} = 1

What is the answer to (2b+14)/8 =(1-2b)/(12) ?
The answer to (2b+14)/8 =(1-2b)/(12) is b=-4
Solve for b: (2b+14)/8 =(1-2b)/(12)
The solution is b=-4