What is the answer to (3(6-x))/2 =(2(x+1))/5 ?

The answer to (3(6-x))/2 =(2(x+1))/5 is x= 86/19

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(3(6-x))/2 =(2(x+1))/5

\frac{3 ( 6 - x )}{2} = \frac{2 ( x + 1 )}{5}

x = \frac{86}{19}

Decimal Notation

x = 4.52631 \dots

Solution steps

\frac{3 ( 6 - x )}{2} = \frac{2 ( x + 1 )}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

3 (6 - x) \cdot 5 = 2 \cdot 2 (x + 1)

Simplify

15 (6 - x) = 4 (x + 1)

Expand

15 (6 - x) : 90 - 15 x

Expand

4 (x + 1) : 4 x + 4

90 - 15 x = 4 x + 4

Move

90

to the right side

- 15 x = 4 x - 86

Move

4 x

to the left side

- 19 x = - 86

Divide both sides by

- 19

x = \frac{86}{19}

x^{2} = \frac{5}{16}

(\frac{3}{5})^{2} + (\frac{4}{5})^{2}

(3)^{\frac{3}{2}}

- 8 x - 8 + 3 (x - 2) = - 3 x + 2

- 3 = 12 y - 5 (2 y - 7)

What is the answer to (3(6-x))/2 =(2(x+1))/5 ?
The answer to (3(6-x))/2 =(2(x+1))/5 is x= 86/19
Solve for x: (3(6-x))/2 =(2(x+1))/5
The solution is x= 86/19