What is the answer to (x-2)/(18)=(x-3)/(15) ?

The answer to (x-2)/(18)=(x-3)/(15) is x=8

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(x-2)/(18)=(x-3)/(15)

\frac{x - 2}{18} = \frac{x - 3}{15}

x = 8

Solution steps

\frac{x - 2}{18} = \frac{x - 3}{15}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 2) \cdot 15 = 18 (x - 3)

Expand

(x - 2) \cdot 15 : 15 x - 30

Expand

18 (x - 3) : 18 x - 54

15 x - 30 = 18 x - 54

Move

30

to the right side

15 x = 18 x - 24

Move

18 x

to the left side

- 3 x = - 24

Divide both sides by

- 3

x = 8

2 x + 6 = 16

x + 3 = 2 x + 5

7 x + 8 = 22

x, a x + b = c

2 x + 4 \cdot (5 x - 3) = - 7 \cdot (2 + x) - (- 11 x - 11)

What is the answer to (x-2)/(18)=(x-3)/(15) ?
The answer to (x-2)/(18)=(x-3)/(15) is x=8
Solve for x: (x-2)/(18)=(x-3)/(15)
The solution is x=8