Solve for x 3-(3x-1)=2(x+3)-1

$3 - (3 x - 1) = 2 (x + 3) - 1$

Step 1

Simplify $3 - (3 x - 1)$ .

Simplify each term.

Apply the distributive property.

$3 - (3 x) - - 1 = 2 (x + 3) - 1$

Multiply $3$ by $- 1$ .

$3 - 3 x - - 1 = 2 (x + 3) - 1$

Multiply $- 1$ by $- 1$ .

$3 - 3 x + 1 = 2 (x + 3) - 1$

Add $3$ and $1$ .

$- 3 x + 4 = 2 (x + 3) - 1$

Step 2

Simplify $2 (x + 3) - 1$ .

Simplify each term.

Apply the distributive property.

$- 3 x + 4 = 2 x + 2 \cdot 3 - 1$

Multiply $2$ by $3$ .

$- 3 x + 4 = 2 x + 6 - 1$

Subtract $1$ from $6$ .

$- 3 x + 4 = 2 x + 5$

Step 3

Move all terms containing $x$ to the left side of the equation.

Subtract $2 x$ from both sides of the equation.

$- 3 x + 4 - 2 x = 5$

Subtract $2 x$ from $- 3 x$ .

$- 5 x + 4 = 5$

Step 4

Move all terms not containing $x$ to the right side of the equation.

Subtract $4$ from both sides of the equation.

$- 5 x = 5 - 4$

Subtract $4$ from $5$ .

$- 5 x = 1$

Step 5

Divide each term in $- 5 x = 1$ by $- 5$ and simplify.

Divide each term in $- 5 x = 1$ by $- 5$ .

$\frac{- 5 x}{- 5} = \frac{1}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} = \frac{1}{- 5}$

Divide $x$ by $1$ .

$x = \frac{1}{- 5}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{1}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{5}$

Decimal Form:

$x = - 0.2$

Solve for x 3-(3x-1)=2(x+3)-1

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