What is the answer to (3x-2)/4 =(3x+5)/6 ?

The answer to (3x-2)/4 =(3x+5)/6 is x= 16/3

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(3x-2)/4 =(3x+5)/6

\frac{3 x - 2}{4} = \frac{3 x + 5}{6}

x = \frac{16}{3}

Decimal Notation

x = 5.33333 \dots

Solution steps

\frac{3 x - 2}{4} = \frac{3 x + 5}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x - 2) \cdot 6 = 4 (3 x + 5)

Expand

(3 x - 2) \cdot 6 : 18 x - 12

Expand

4 (3 x + 5) : 12 x + 20

18 x - 12 = 12 x + 20

Move

12

to the right side

18 x = 12 x + 32

Move

12 x

to the left side

6 x = 32

Divide both sides by

6

x = \frac{16}{3}

- 6 (y - 5) = - 2 y + 42

4 x - 18 = x - 3

r, k = 5 r - 9 s

p, p H = - lo g_{10} (0.0003)

y = \frac{1}{2} (0) + 1

What is the answer to (3x-2)/4 =(3x+5)/6 ?
The answer to (3x-2)/4 =(3x+5)/6 is x= 16/3
Solve for x: (3x-2)/4 =(3x+5)/6
The solution is x= 16/3