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

The answer to x/2-3=(3x)/2-(1-x) is x=-1

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

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

x = - 1

Solution steps

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

Multiply both sides by

2

x - 6 = 3 x - 2 (1 - x)

Expand

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

x - 6 = 5 x - 2

Move

6

to the right side

x = 5 x + 4

Move

5 x

to the left side

- 4 x = 4

Divide both sides by

- 4

x = - 1

2 (1 - x) + 2 = - x + \frac{1}{2} (2 - x) + \frac{x + 4}{2}

\frac{1}{6} x + 2 x - 1 = \frac{1}{3} (x + 9)

221 + 120 = (b mod 7)

\frac{11}{8} - \frac{5 q + 1}{12} = \frac{2 - q}{4} + \frac{11}{6}

z, 5 w + 9 z = 2 z + 3 w

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