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

The answer to (x+3)/2+(2x-5)/3 = 1/2 is x= 4/7

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

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

x = \frac{4}{7}

Solution steps

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

Multiply by LCM

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

Expand

3 (x + 3) + 2 (2 x - 5) : 7 x - 1

7 x - 1 = 3

Move

1

to the right side

7 x = 4

Divide both sides by

7

x = \frac{4}{7}

(\frac{3}{8})^{- 2}

- 7 (x + 6) + 1 = 3 - 5 (x - 4)

\frac{8}{x + 2} \leq 4

2 k^{2} + 9 k + 7

\frac{x}{3} + 17 \leq 15

What is the answer to (x+3)/2+(2x-5)/3 = 1/2 ?
The answer to (x+3)/2+(2x-5)/3 = 1/2 is x= 4/7
Solve for x: (x+3)/2+(2x-5)/3 = 1/2
The solution is x= 4/7