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

The answer to (1-x)/5 =(2-x)/3 is x= 7/2

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

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

x = \frac{7}{2}

Decimal Notation

x = 3.5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(1 - x) \cdot 3 : 3 - 3 x

Expand

5 (2 - x) : 10 - 5 x

3 - 3 x = 10 - 5 x

Move

3

to the right side

- 3 x = - 5 x + 7

Move

5 x

to the left side

2 x = 7

Divide both sides by

2

x = \frac{7}{2}

2 (x + 3) = 22

\frac{20 - 40 ( 5 )}{5 ^{2}} + \frac{1}{2}

4 4 - \frac{3}{2} x + 12 = 32

r^{2} + 2 r + 17 = 0

x^{2} + 3 x - 5 = 0

What is the answer to (1-x)/5 =(2-x)/3 ?
The answer to (1-x)/5 =(2-x)/3 is x= 7/2
Solve for x: (1-x)/5 =(2-x)/3
The solution is x= 7/2