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

The answer to (x+7)/3 =(1+3x-2)/5 is x= 19/2

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

\frac{x + 7}{3} = \frac{1 + 3 x - 2}{5}

x = \frac{19}{2}

Decimal Notation

x = 9.5

Solution steps

\frac{x + 7}{3} = \frac{1 + 3 x - 2}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Simplify

(x + 7) \cdot 5 = 3 (3 x - 1)

Expand

(x + 7) \cdot 5 : 5 x + 35

Expand

3 (3 x - 1) : 9 x - 3

5 x + 35 = 9 x - 3

Move

35

to the right side

5 x = 9 x - 38

Move

9 x

to the left side

- 4 x = - 38

Divide both sides by

- 4

x = \frac{19}{2}

2 x + 12 + 5 x - (- 2) = x

z = (3 - 4 i) (12 + 5 i)

\frac{4}{5} = 100 - \frac{x}{100} + 5 \frac{x}{3}

z + 3 = \frac{2 ( 1 - 3 z )}{3}

e^{1} - 2 x = 17

What is the answer to (x+7)/3 =(1+3x-2)/5 ?
The answer to (x+7)/3 =(1+3x-2)/5 is x= 19/2
Solve for x: (x+7)/3 =(1+3x-2)/5
The solution is x= 19/2