Solve for x -2(x+3)=4x-3

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

Step 1

Simplify $- 2 (x + 3)$ .

Rewrite.

$0 + 0 - 2 (x + 3) = 4 x - 3$

Simplify by adding zeros.

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

Apply the distributive property.

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

Multiply $- 2$ by $3$ .

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

Step 2

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

Subtract $4 x$ from both sides of the equation.

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

Subtract $4 x$ from $- 2 x$ .

$- 6 x - 6 = - 3$

Step 3

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

Add $6$ to both sides of the equation.

$- 6 x = - 3 + 6$

Add $- 3$ and $6$ .

$- 6 x = 3$

Step 4

Divide each term in $- 6 x = 3$ by $- 6$ and simplify.

Divide each term in $- 6 x = 3$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{3}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{3}{- 6}$

Divide $x$ by $1$ .

$x = \frac{3}{- 6}$

Simplify the right side.

Cancel the common factor of $3$ and $- 6$ .

Factor $3$ out of $3$ .

$x = \frac{3 (1)}{- 6}$

Cancel the common factors.

Factor $3$ out of $- 6$ .

$x = \frac{3 \cdot 1}{3 \cdot - 2}$

Cancel the common factor.

$x = \frac{3 \cdot 1}{3 \cdot - 2}$

Rewrite the expression.

$x = \frac{1}{- 2}$

Move the negative in front of the fraction.

$x = - \frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{2}$

Decimal Form:

$x = - 0.5$

Solve for x -2(x+3)=4x-3

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