What is the answer to 1-(2x-5)/(40)=x-(4x-7)/(10)+2/3 x ?

The answer to 1-(2x-5)/(40)=x-(4x-7)/(10)+2/3 x is x= 51/158

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1-(2x-5)/(40)=x-(4x-7)/(10)+2/3 x

1 - \frac{2 x - 5}{40} = x - \frac{4 x - 7}{10} + \frac{2}{3} x

x = \frac{51}{158}

Decimal Notation

x = 0.32278 \dots

Solution steps

1 - \frac{2 x - 5}{40} = x - \frac{4 x - 7}{10} + \frac{2}{3} x

Multiply by LCM

120 - 3 (2 x - 5) = 200 x - 12 (4 x - 7)

Expand

- 12 (4 x - 7) : - 48 x + 84

- 6 x + 135 = 200 x - 48 x + 84

Add similar elements:

200 x - 48 x = 152 x

- 6 x + 135 = 152 x + 84

Expand

120 - 3 (2 x - 5) : - 6 x + 135

- 6 x + 135 = 152 x + 84

Move

135

to the right side

- 6 x = 152 x - 51

Move

152 x

to the left side

- 158 x = - 51

Divide both sides by

- 158

x = \frac{51}{158}

(x + 5) = 0

7 x - x + 5 = 17

3 x - 2 = 81

6 + 2 \cdot (3 x - 4) = 7 \cdot (x - 1) + 4

33 a - 14 a + 3 a - 4 a - 15 a = 12

What is the answer to 1-(2x-5)/(40)=x-(4x-7)/(10)+2/3 x ?
The answer to 1-(2x-5)/(40)=x-(4x-7)/(10)+2/3 x is x= 51/158
Solve for x: 1-(2x-5)/(40)=x-(4x-7)/(10)+2/3 x
The solution is x= 51/158