What is the answer to (x+5)/3 =(10-x)/2 ?

The answer to (x+5)/3 =(10-x)/2 is x=4

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(x+5)/3 =(10-x)/2

\frac{x + 5}{3} = \frac{10 - x}{2}

x = 4

Solution steps

\frac{x + 5}{3} = \frac{10 - x}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 5) \cdot 2 = 3 (10 - x)

Expand

(x + 5) \cdot 2 : 2 x + 10

Expand

3 (10 - x) : 30 - 3 x

2 x + 10 = 30 - 3 x

Move

10

to the right side

2 x = - 3 x + 20

Move

3 x

to the left side

5 x = 20

Divide both sides by

5

x = 4

9.5 = \frac{x}{6}

2 (x + 3) + 5 (x - 2) = - x + 10

5 (6 - w) = 10 (4 - 2 w)

29 x + 3 (5 - 35 x) = - 119 - 9 x

- 7 a - 10 = 20 - 3 a

What is the answer to (x+5)/3 =(10-x)/2 ?
The answer to (x+5)/3 =(10-x)/2 is x=4
Solve for x: (x+5)/3 =(10-x)/2
The solution is x=4