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

The answer to (2x+6)/4 =(3x-7)/5 is x=29

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

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

x = 29

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(2 x + 6) \cdot 5 : 10 x + 30

Expand

4 (3 x - 7) : 12 x - 28

10 x + 30 = 12 x - 28

Move

30

to the right side

10 x = 12 x - 58

Move

12 x

to the left side

- 2 x = - 58

Divide both sides by

- 2

x = 29

9.93 t + 4.9 t^{2} + 9.93 t - 4.9 t^{2} = 5.87

15 = - 10 + 17

f = 3 (2) + 3

- 5 + 5 = 2 (- 1 + 1)

4 x + 5 + x = 3 + 2 x + 4

What is the answer to (2x+6)/4 =(3x-7)/5 ?
The answer to (2x+6)/4 =(3x-7)/5 is x=29
Solve for x: (2x+6)/4 =(3x-7)/5
The solution is x=29