What is the answer to (5x-7)/2 =((5x))/(2+15) ?

The answer to (5x-7)/2 =((5x))/(2+15) is x= 119/75

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(5x-7)/2 =((5x))/(2+15)

\frac{5 x - 7}{2} = \frac{( 5 x )}{2 + 15}

x = \frac{119}{75}

Decimal Notation

x = 1.58666 \dots

Solution steps

\frac{5 x - 7}{2} = \frac{( 5 x )}{2 + 15}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(5 x - 7) (2 + 15) = 2 \cdot 5 x

Simplify

17 (5 x - 7) = 10 x

Expand

17 (5 x - 7) : 85 x - 119

85 x - 119 = 10 x

Move

119

to the right side

85 x = 10 x + 119

Move

10 x

to the left side

75 x = 119

Divide both sides by

75

x = \frac{119}{75}

x, f^{1} (- 1) = 3 - x

y, 15 z = 3 y

10 + 3 x = - 4

x, 2 \frac{x}{5} + 3 \frac{y}{10} = 3

a, a + b = - 3

What is the answer to (5x-7)/2 =((5x))/(2+15) ?
The answer to (5x-7)/2 =((5x))/(2+15) is x= 119/75
Solve for x: (5x-7)/2 =((5x))/(2+15)
The solution is x= 119/75