What is the answer to (7(2x+6))/7-(4(2x+8))/6 =4 ?

The answer to (7(2x+6))/7-(4(2x+8))/6 =4 is x=5

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(7(2x+6))/7-(4(2x+8))/6 =4

\frac{7 ( 2 x + 6 )}{7} - \frac{4 ( 2 x + 8 )}{6} = 4

x = 5

Solution steps

\frac{7 ( 2 x + 6 )}{7} - \frac{4 ( 2 x + 8 )}{6} = 4

Divide the numbers:

\frac{7}{7} = 1

2 x + 6 - \frac{4 ( 2 x + 8 )}{6} = 4

Cancel

\frac{4 ( 2 x + 8 )}{6} : \frac{2 ( 2 x + 8 )}{3}

2 x + 6 - \frac{2 ( 2 x + 8 )}{3} = 4

Move

6

to the right side

2 x - \frac{2 ( 2 x + 8 )}{3} = - 2

Multiply both sides by

3

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

Expand

- 2 (2 x + 8) : - 4 x - 16

6 x - 4 x - 16 = - 6

Add similar elements:

6 x - 4 x = 2 x

2 x - 16 = - 6

Move

16

to the right side

2 x = 10

Divide both sides by

2

x = 5

x, 7 x + 5 y = 0

4 y = 4

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

- 48 = - 16 a

a^{2} (x - a) + b^{2} (x - b) = ab x

What is the answer to (7(2x+6))/7-(4(2x+8))/6 =4 ?
The answer to (7(2x+6))/7-(4(2x+8))/6 =4 is x=5
Solve for x: (7(2x+6))/7-(4(2x+8))/6 =4
The solution is x=5