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

The answer to ((x-4))/5 =((x-2))/3-(((x-3)))/4 is x= 53/7

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

\frac{( x - 4 )}{5} = \frac{( x - 2 )}{3} - \frac{( ( x - 3 ) )}{4}

x = \frac{53}{7}

Decimal Notation

x = 7.57142 \dots

Solution steps

\frac{( x - 4 )}{5} = \frac{( x - 2 )}{3} - \frac{( ( x - 3 ) )}{4}

\frac{( x - 4 )}{5} = \frac{x - 2}{3} - \frac{x - 3}{4}

Multiply by LCM

12 (x - 4) = 20 (x - 2) - 15 (x - 3)

Expand

12 (x - 4) : 12 x - 48

Expand

20 (x - 2) - 15 (x - 3) : 5 x + 5

12 x - 48 = 5 x + 5

Move

48

to the right side

12 x = 5 x + 53

Move

5 x

to the left side

7 x = 53

Divide both sides by

7

x = \frac{53}{7}

(x - a) (x - b) = x^{2} + 3 ab

- 4 x + 9 = 13

r, A = P (1 + r t)

r, A = P (1 + n r)

\frac{0.2 x - 1.8}{5} = 4.2

What is the answer to ((x-4))/5 =((x-2))/3-(((x-3)))/4 ?
The answer to ((x-4))/5 =((x-2))/3-(((x-3)))/4 is x= 53/7
Solve for x: ((x-4))/5 =((x-2))/3-(((x-3)))/4
The solution is x= 53/7