What is the answer to ((4x-6))/3 =((7+2x))/5 ?

The answer to ((4x-6))/3 =((7+2x))/5 is x= 51/14

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((4x-6))/3 =((7+2x))/5

\frac{( 4 x - 6 )}{3} = \frac{( 7 + 2 x )}{5}

x = \frac{51}{14}

Decimal Notation

x = 3.64285 \dots

Solution steps

\frac{( 4 x - 6 )}{3} = \frac{( 7 + 2 x )}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(4 x - 6) \cdot 5 : 20 x - 30

Expand

3 (7 + 2 x) : 21 + 6 x

20 x - 30 = 21 + 6 x

Move

30

to the right side

20 x = 6 x + 51

Move

6 x

to the left side

14 x = 51

Divide both sides by

14

x = \frac{51}{14}

5 x^{2} + 27 x + 28

(x^{2} + 4 x + 3) (x^{2} - 4)

\frac{x - 2}{x - 4} \geq \frac{x + 2}{x}

4 j^{2} = - 32 + 66 j

∣ 2 x + 1 ∣ \geq 2 + x

What is the answer to ((4x-6))/3 =((7+2x))/5 ?
The answer to ((4x-6))/3 =((7+2x))/5 is x= 51/14
Solve for x: ((4x-6))/3 =((7+2x))/5
The solution is x= 51/14