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

The answer to (2x-3)/2 =(x-1)/5 is x= 13/8

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

\frac{2 x - 3}{2} = \frac{x - 1}{5}

x = \frac{13}{8}

Decimal Notation

x = 1.625

Solution steps

\frac{2 x - 3}{2} = \frac{x - 1}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(2 x - 3) \cdot 5 : 10 x - 15

Expand

2 (x - 1) : 2 x - 2

10 x - 15 = 2 x - 2

Move

15

to the right side

10 x = 2 x + 13

Move

2 x

to the left side

8 x = 13

Divide both sides by

8

x = \frac{13}{8}

a, a = \frac{1}{2} (a + b) h

x, 4 x - z = y

4.5 f = 6.3 f - 4.5

\frac{1}{25} = 5^{- 2}

x, 5 x + 2 y = 0

What is the answer to (2x-3)/2 =(x-1)/5 ?
The answer to (2x-3)/2 =(x-1)/5 is x= 13/8
Solve for x: (2x-3)/2 =(x-1)/5
The solution is x= 13/8