What is the answer to (8(x+3))/5 =(3(x+2))/4 ?

The answer to (8(x+3))/5 =(3(x+2))/4 is x=-66/17

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

\frac{8 ( x + 3 )}{5} = \frac{3 ( x + 2 )}{4}

x = - \frac{66}{17}

Decimal Notation

x = - 3.88235 \dots

Solution steps

\frac{8 ( x + 3 )}{5} = \frac{3 ( x + 2 )}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Simplify

32 (x + 3) = 15 (x + 2)

Expand

32 (x + 3) : 32 x + 96

Expand

15 (x + 2) : 15 x + 30

32 x + 96 = 15 x + 30

Move

96

to the right side

32 x = 15 x - 66

Move

15 x

to the left side

17 x = - 66

Divide both sides by

17

x = - \frac{66}{17}

3 x^{2} + 6 = 10 x

3 y \geq 9

2 \leq 3 - x \leq 12

n + 8 \leq 10

25 x^{2} y^{3}

What is the answer to (8(x+3))/5 =(3(x+2))/4 ?
The answer to (8(x+3))/5 =(3(x+2))/4 is x=-66/17
Solve for x: (8(x+3))/5 =(3(x+2))/4
The solution is x=-66/17