What is the answer to (2(x-1))/3 =(3x+6)/5 ?

The answer to (2(x-1))/3 =(3x+6)/5 is x=28

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(2(x-1))/3 =(3x+6)/5

\frac{2 ( x - 1 )}{3} = \frac{3 x + 6}{5}

x = 28

Solution steps

\frac{2 ( x - 1 )}{3} = \frac{3 x + 6}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

2 (x - 1) \cdot 5 = 3 (3 x + 6)

Simplify

10 (x - 1) = 3 (3 x + 6)

Expand

10 (x - 1) : 10 x - 10

Expand

3 (3 x + 6) : 9 x + 18

10 x - 10 = 9 x + 18

Move

10

to the right side

10 x = 9 x + 28

Move

9 x

to the left side

x = 28

x, \frac{x - 2 t}{a} = \frac{3 ( x - y )}{z}

\frac{4 x + 23}{5} = 3

- 2 w + 6 = 16

x, - \frac{x}{2} + \frac{y}{5} = 1

x, 3 x + 9 y = 54

What is the answer to (2(x-1))/3 =(3x+6)/5 ?
The answer to (2(x-1))/3 =(3x+6)/5 is x=28
Solve for x: (2(x-1))/3 =(3x+6)/5
The solution is x=28