What is the answer to (2x+3)/4 =(x+4)/5 ?

The answer to (2x+3)/4 =(x+4)/5 is x= 1/6

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(2x+3)/4 =(x+4)/5

\frac{2 x + 3}{4} = \frac{x + 4}{5}

x = \frac{1}{6}

Decimal Notation

x = 0.16666 \dots

Solution steps

\frac{2 x + 3}{4} = \frac{x + 4}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x + 3) \cdot 5 = 4 (x + 4)

Expand

(2 x + 3) \cdot 5 : 10 x + 15

Expand

4 (x + 4) : 4 x + 16

10 x + 15 = 4 x + 16

Move

15

to the right side

10 x = 4 x + 1

Move

4 x

to the left side

6 x = 1

Divide both sides by

6

x = \frac{1}{6}

lo g_{a} (a^{n}) = x

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

24 x = - 48

a, d - F^{3} = 4 a

x, y - 5 = 3 (x - 2)

What is the answer to (2x+3)/4 =(x+4)/5 ?
The answer to (2x+3)/4 =(x+4)/5 is x= 1/6
Solve for x: (2x+3)/4 =(x+4)/5
The solution is x= 1/6