What is the answer to (10-x)/2 =(x+1)/3 ?

The answer to (10-x)/2 =(x+1)/3 is x= 28/5

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(10-x)/2 =(x+1)/3

\frac{10 - x}{2} = \frac{x + 1}{3}

x = \frac{28}{5}

Decimal Notation

x = 5.6

Solution steps

\frac{10 - x}{2} = \frac{x + 1}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(10 - x) \cdot 3 = 2 (x + 1)

Expand

(10 - x) \cdot 3 : 30 - 3 x

Expand

2 (x + 1) : 2 x + 2

30 - 3 x = 2 x + 2

Move

30

to the right side

- 3 x = 2 x - 28

Move

2 x

to the left side

- 5 x = - 28

Divide both sides by

- 5

x = \frac{28}{5}

(8) = - 1 (5) + b

2 m^{2} - 7 m - 13 = - 10

\frac{25 x ^{7} y ^{8}}{5 x ^{5} y}

\frac{x ^{2}}{4} + 3 x = 49

7 x^{2} - 12 x + 5 = 0

What is the answer to (10-x)/2 =(x+1)/3 ?
The answer to (10-x)/2 =(x+1)/3 is x= 28/5
Solve for x: (10-x)/2 =(x+1)/3
The solution is x= 28/5