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

The answer to (3x+8)/3 =(2x-1)/6 is x=-17/4

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

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

x = - \frac{17}{4}

Decimal Notation

x = - 4.25

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(3 x + 8) \cdot 6 : 18 x + 48

Expand

3 (2 x - 1) : 6 x - 3

18 x + 48 = 6 x - 3

Move

48

to the right side

18 x = 6 x - 51

Move

6 x

to the left side

12 x = - 51

Divide both sides by

12

x = - \frac{17}{4}

x, x + y + z = 100

3 z + 35 = 47

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

\frac{5 x}{2} = 25

\frac{a}{9} + \frac{2 a}{9} + \frac{5 a}{9} + \frac{a}{9} = 1

What is the answer to (3x+8)/3 =(2x-1)/6 ?
The answer to (3x+8)/3 =(2x-1)/6 is x=-17/4
Solve for x: (3x+8)/3 =(2x-1)/6
The solution is x=-17/4