What is the answer to (b-6)/4 =(b+2)/3 ?

The answer to (b-6)/4 =(b+2)/3 is b=-26

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(b-6)/4 =(b+2)/3

\frac{b - 6}{4} = \frac{b + 2}{3}

b = - 26

Solution steps

\frac{b - 6}{4} = \frac{b + 2}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(b - 6) \cdot 3 = 4 (b + 2)

Expand

(b - 6) \cdot 3 : 3 b - 18

Expand

4 (b + 2) : 4 b + 8

3 b - 18 = 4 b + 8

Move

18

to the right side

3 b = 4 b + 26

Move

4 b

to the left side

- b = 26

Divide both sides by

- 1

b = - 26

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

9 - 5 (- x - 6) = 1 - 5 x

(x - 1) + 2 (3 x + 2) = 10

2 x - (6 x + 2) = 2 (x - 10)

x - 2 x = 7

What is the answer to (b-6)/4 =(b+2)/3 ?
The answer to (b-6)/4 =(b+2)/3 is b=-26
Solve for b: (b-6)/4 =(b+2)/3
The solution is b=-26