What is the answer to (x-3)/7 =(x+1)/(32) ?

The answer to (x-3)/7 =(x+1)/(32) is x= 103/25

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(x-3)/7 =(x+1)/(32)

\frac{x - 3}{7} = \frac{x + 1}{32}

x = \frac{103}{25}

Decimal Notation

x = 4.12

Solution steps

\frac{x - 3}{7} = \frac{x + 1}{32}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 3) \cdot 32 = 7 (x + 1)

Expand

(x - 3) \cdot 32 : 32 x - 96

Expand

7 (x + 1) : 7 x + 7

32 x - 96 = 7 x + 7

Move

96

to the right side

32 x = 7 x + 103

Move

7 x

to the left side

25 x = 103

Divide both sides by

25

x = \frac{103}{25}

y, 4 x - 5 y + 17 = 0

18 y = 9

9 f - (- 3) = 75

y - 4 = 27

y, 6 x - 2 y = 25

What is the answer to (x-3)/7 =(x+1)/(32) ?
The answer to (x-3)/7 =(x+1)/(32) is x= 103/25
Solve for x: (x-3)/7 =(x+1)/(32)
The solution is x= 103/25