What is the answer to (2(x-4))/3 =(4(2x-1))/(15) ?

The answer to (2(x-4))/3 =(4(2x-1))/(15) is x=18

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(2(x-4))/3 =(4(2x-1))/(15)

\frac{2 ( x - 4 )}{3} = \frac{4 ( 2 x - 1 )}{15}

x = 18

Solution steps

\frac{2 ( x - 4 )}{3} = \frac{4 ( 2 x - 1 )}{15}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

2 (x - 4) \cdot 15 = 3 \cdot 4 (2 x - 1)

Simplify

30 (x - 4) = 12 (2 x - 1)

Expand

30 (x - 4) : 30 x - 120

Expand

12 (2 x - 1) : 24 x - 12

30 x - 120 = 24 x - 12

Move

120

to the right side

30 x = 24 x + 108

Move

24 x

to the left side

6 x = 108

Divide both sides by

6

x = 18

y = 3 (0) - 6

y = 3 (0) + 1

x, - 2 x + 4 y = 6

x, 4 x + 3 y = - 18

l, V = lw h

What is the answer to (2(x-4))/3 =(4(2x-1))/(15) ?
The answer to (2(x-4))/3 =(4(2x-1))/(15) is x=18
Solve for x: (2(x-4))/3 =(4(2x-1))/(15)
The solution is x=18