What is the answer to 1/2 (x-3)-3/5 (2x-5)=3-3/4 (2x-6) ?

The answer to 1/2 (x-3)-3/5 (2x-5)=3-3/4 (2x-6) is x= 15/2

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1/2 (x-3)-3/5 (2x-5)=3-3/4 (2x-6)

\frac{1}{2} (x - 3) - \frac{3}{5} (2 x - 5) = 3 - \frac{3}{4} (2 x - 6)

x = \frac{15}{2}

Decimal Notation

x = 7.5

Solution steps

\frac{1}{2} (x - 3) - \frac{3}{5} (2 x - 5) = 3 - \frac{3}{4} (2 x - 6)

Multiply

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

\frac{1}{2} (x - 3) - \frac{3}{5} (2 x - 5) = 3 - \frac{3 ( 2 x - 6 )}{4}

Multiply by LCM

10 (x - 3) - 12 (2 x - 5) = 60 - 30 (x - 3)

Expand

10 (x - 3) - 12 (2 x - 5) : - 14 x + 30

Expand

60 - 30 (x - 3) : - 30 x + 150

- 14 x + 30 = - 30 x + 150

Move

30

to the right side

- 14 x = - 30 x + 120

Move

30 x

to the left side

16 x = 120

Divide both sides by

16

x = \frac{15}{2}

x^{2} - 3 x + 2 \geq 0

9 - 5 x > 19

∣ 4 - 3 x ∣ \leq 16

2 - x > 4

∣ x ∣ \leq 2

What is the answer to 1/2 (x-3)-3/5 (2x-5)=3-3/4 (2x-6) ?
The answer to 1/2 (x-3)-3/5 (2x-5)=3-3/4 (2x-6) is x= 15/2
Solve for x: 1/2 (x-3)-3/5 (2x-5)=3-3/4 (2x-6)
The solution is x= 15/2