What is the answer to (5x+5)/5 =(2x-8)/6 ?

The answer to (5x+5)/5 =(2x-8)/6 is x=-7/2

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(5x+5)/5 =(2x-8)/6

\frac{5 x + 5}{5} = \frac{2 x - 8}{6}

x = - \frac{7}{2}

Solution steps

\frac{5 x + 5}{5} = \frac{2 x - 8}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(5 x + 5) \cdot 6 = 5 (2 x - 8)

Expand

(5 x + 5) \cdot 6 : 30 x + 30

Expand

5 (2 x - 8) : 10 x - 40

30 x + 30 = 10 x - 40

Move

30

to the right side

30 x = 10 x - 70

Move

10 x

to the left side

20 x = - 70

Divide both sides by

20

x = - \frac{7}{2}

3 x + 15 = 5 (x + 3) - 2 x

3 y + 8 = 20

m (x + n) + n (x + m) = 2 mn + m + n

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

7 x - 8 = 20

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