What is the answer to (4(x+1))/2+x-(x+3)/3 =5+3(x-2) ?

The answer to (4(x+1))/2+x-(x+3)/3 =5+3(x-2) is x=6

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(4(x+1))/2+x-(x+3)/3 =5+3(x-2)

\frac{4 ( x + 1 )}{2} + x - \frac{x + 3}{3} = 5 + 3 (x - 2)

x = 6

Solution steps

\frac{4 ( x + 1 )}{2} + x - \frac{x + 3}{3} = 5 + 3 (x - 2)

Divide the numbers:

\frac{4}{2} = 2

2 (x + 1) + x - \frac{x + 3}{3} = 5 + 3 (x - 2)

Multiply both sides by

3

6 (x + 1) + 3 x - (x + 3) = 15 + 9 (x - 2)

Expand

6 (x + 1) + 3 x - (x + 3) : 8 x + 3

Expand

15 + 9 (x - 2) : 9 x - 3

8 x + 3 = 9 x - 3

Move

3

to the right side

8 x = 9 x - 6

Move

9 x

to the left side

- x = - 6

Divide both sides by

- 1

x = 6

2 (4 x - 2) = 8 (x - 7)

u, \frac{u}{p} + \frac{u}{q} = m

x, 3 x + 3 y = 9

y, x = - 3 y + 8

2 \frac{1}{4} + y = 5 \frac{3}{4}

What is the answer to (4(x+1))/2+x-(x+3)/3 =5+3(x-2) ?
The answer to (4(x+1))/2+x-(x+3)/3 =5+3(x-2) is x=6
Solve for x: (4(x+1))/2+x-(x+3)/3 =5+3(x-2)
The solution is x=6