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

The answer to ((x-4))/5 =((x-2))/3+5 is x=-77/2

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

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

x = - \frac{77}{2}

Decimal Notation

x = - 38.5

Solution steps

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

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

Multiply by LCM

3 (x - 4) = 5 (x - 2) + 75

Expand

3 (x - 4) : 3 x - 12

Expand

5 (x - 2) + 75 : 5 x + 65

3 x - 12 = 5 x + 65

Move

12

to the right side

3 x = 5 x + 77

Move

5 x

to the left side

- 2 x = 77

Divide both sides by

- 2

x = - \frac{77}{2}

p, 7 p + 16 q - 1500 = 0

3 (x + 2) - 5 (3 - x) = 7 (x + 1) + 9

- x = 18 - 3 x

169 - 144 = 169 - 144

\frac{4 x}{3} - 2 = \frac{2 x + 3}{3} - 1

What is the answer to ((x-4))/5 =((x-2))/3+5 ?
The answer to ((x-4))/5 =((x-2))/3+5 is x=-77/2
Solve for x: ((x-4))/5 =((x-2))/3+5
The solution is x=-77/2