What is the answer to -3.1x+7-7.4x=1.5x-6(x-3/2) ?

The answer to -3.1x+7-7.4x=1.5x-6(x-3/2) is x=-1/3

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-3.1x+7-7.4x=1.5x-6(x-3/2)

- 3.1 x + 7 - 7.4 x = 1.5 x - 6 (x - \frac{3}{2})

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

- 3.1 x + 7 - 7.4 x = 1.5 x - 6 (x - \frac{3}{2})

Group like terms

- 3.1 x - 7.4 x + 7 = 1.5 x - 6 (x - \frac{3}{2})

Add similar elements:

- 3.1 x - 7.4 x = - 10.5 x

- 10.5 x + 7 = 1.5 x - 6 (x - \frac{3}{2})

Multiply both sides by

10

- 105 x + 70 = 15 x - 60 (x - \frac{3}{2})

Expand

- 60 (x - \frac{3}{2}) : - 60 x + 90

- 105 x + 70 = 15 x - 60 x + 90

Add similar elements:

15 x - 60 x = - 45 x

- 105 x + 70 = - 45 x + 90

Move

70

to the right side

- 105 x = - 45 x + 20

Move

45 x

to the left side

- 60 x = 20

Divide both sides by

- 60

x = - \frac{1}{3}

\frac{3 x - 2}{5} = \frac{1}{2} - \frac{x}{10}

\frac{1}{2} x + 3 = 0

y + 9 y = 0

f, f (x + y) = f (x) + f (y)

x, 8 x + 4 y = 20

What is the answer to -3.1x+7-7.4x=1.5x-6(x-3/2) ?
The answer to -3.1x+7-7.4x=1.5x-6(x-3/2) is x=-1/3
Solve for x: -3.1x+7-7.4x=1.5x-6(x-3/2)
The solution is x=-1/3