What is the answer to (6x+4)/3 =(5x-5)/8 ?

The answer to (6x+4)/3 =(5x-5)/8 is x=-47/33

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(6x+4)/3 =(5x-5)/8

\frac{6 x + 4}{3} = \frac{5 x - 5}{8}

x = - \frac{47}{33}

Decimal Notation

x = - 1.42424 \dots

Solution steps

\frac{6 x + 4}{3} = \frac{5 x - 5}{8}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(6 x + 4) \cdot 8 = 3 (5 x - 5)

Expand

(6 x + 4) \cdot 8 : 48 x + 32

Expand

3 (5 x - 5) : 15 x - 15

48 x + 32 = 15 x - 15

Move

32

to the right side

48 x = 15 x - 47

Move

15 x

to the left side

33 x = - 47

Divide both sides by

33

x = - \frac{47}{33}

7 (x - 1) = 3 (x + \frac{1}{3})

(- 3)^{\frac{4}{3}}

4 x^{2} - 8 x = 1

\frac{t + 1}{t - 1} \geq 0

∣ 8 n - 2 ∣ - 6 < 24

What is the answer to (6x+4)/3 =(5x-5)/8 ?
The answer to (6x+4)/3 =(5x-5)/8 is x=-47/33
Solve for x: (6x+4)/3 =(5x-5)/8
The solution is x=-47/33