What is the answer to (8x-1)/3 =(4x-6)/2 ?

The answer to (8x-1)/3 =(4x-6)/2 is x=-4

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(8x-1)/3 =(4x-6)/2

\frac{8 x - 1}{3} = \frac{4 x - 6}{2}

x = - 4

Solution steps

\frac{8 x - 1}{3} = \frac{4 x - 6}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(8 x - 1) \cdot 2 = 3 (4 x - 6)

Expand

(8 x - 1) \cdot 2 : 16 x - 2

Expand

3 (4 x - 6) : 12 x - 18

16 x - 2 = 12 x - 18

Move

2

to the right side

16 x = 12 x - 16

Move

12 x

to the left side

4 x = - 16

Divide both sides by

4

x = - 4

x, 4 x - 2 y = 4

y, 3 x + 2 y = 8

x, 4 x + y = - 5

lo g_{27} (3) = \frac{1}{3}

4 - \frac{2 x}{3} = x + \frac{2}{3}

What is the answer to (8x-1)/3 =(4x-6)/2 ?
The answer to (8x-1)/3 =(4x-6)/2 is x=-4
Solve for x: (8x-1)/3 =(4x-6)/2
The solution is x=-4