What is the answer to (7+2(x+1))/3 =(6x)/5 ?

The answer to (7+2(x+1))/3 =(6x)/5 is x= 45/8

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(7+2(x+1))/3 =(6x)/5

\frac{7 + 2 ( x + 1 )}{3} = \frac{6 x}{5}

x = \frac{45}{8}

Decimal Notation

x = 5.625

Solution steps

\frac{7 + 2 ( x + 1 )}{3} = \frac{6 x}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(7 + 2 (x + 1)) \cdot 5 = 3 \cdot 6 x

Simplify

5 (2 x + 9) = 18 x

Expand

5 (2 x + 9) : 10 x + 45

10 x + 45 = 18 x

Move

45

to the right side

10 x = 18 x - 45

Move

18 x

to the left side

- 8 x = - 45

Divide both sides by

- 8

x = \frac{45}{8}

- 3 (5 k + 3) = - 6 k

x, 3 x + y = 16

- 2 + j = - 22

- 3 x + 2 c = - 3

2 m - 13 = - 8 m + 27

What is the answer to (7+2(x+1))/3 =(6x)/5 ?
The answer to (7+2(x+1))/3 =(6x)/5 is x= 45/8
Solve for x: (7+2(x+1))/3 =(6x)/5
The solution is x= 45/8