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

The answer to -3/2 (1/3 x+3)-x=-10-5x is x=-11/7

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

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

x = - \frac{11}{7}

Decimal Notation

x = - 1.57142 \dots

Solution steps

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

Expand

- \frac{3}{2} (\frac{1}{3} x + 3) - x : - \frac{3 x}{2} - \frac{9}{2}

- \frac{3 x}{2} - \frac{9}{2} = - 10 - 5 x

Move

\frac{9}{2}

to the right side

- \frac{3 x}{2} = - 5 x - \frac{11}{2}

Multiply both sides by

2

- 3 x = - 10 x - 11

Move

10 x

to the left side

7 x = - 11

Divide both sides by

7

x = - \frac{11}{7}

x, x - 3 y = - 10

y = 2 (0)^{2} - 4 (0) - 1

(3 x + 5) 2 + 5 (3 x + 5) + 6 = 0

x, 9 x + 2 y = 4

2 (0) + 3 = - 1

What is the answer to -3/2 (1/3 x+3)-x=-10-5x ?
The answer to -3/2 (1/3 x+3)-x=-10-5x is x=-11/7
Solve for x: -3/2 (1/3 x+3)-x=-10-5x
The solution is x=-11/7