Solve for x x-(8-5x)=12x-23

$x - (8 - 5 x) = 12 x - 23$

Simplify $x - (8 - 5 x)$ .

Simplify each term.

Apply the distributive property.

$x - 1 \cdot 8 - (- 5 x) = 12 x - 23$

Multiply $- 1$ by $8$ .

$x - 8 - (- 5 x) = 12 x - 23$

Multiply $- 5$ by $- 1$ .

$x - 8 + 5 x = 12 x - 23$

Add $x$ and $5 x$ .

$6 x - 8 = 12 x - 23$

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

Subtract $12 x$ from both sides of the equation.

$6 x - 8 - 12 x = - 23$

Subtract $12 x$ from $6 x$ .

$- 6 x - 8 = - 23$

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

Add $8$ to both sides of the equation.

$- 6 x = - 23 + 8$

Add $- 23$ and $8$ .

$- 6 x = - 15$

Divide each term in $- 6 x = - 15$ by $- 6$ and simplify.

Divide each term in $- 6 x = - 15$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{- 15}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{- 15}{- 6}$

Divide $x$ by $1$ .

$x = \frac{- 15}{- 6}$

Simplify the right side.

Cancel the common factor of $- 15$ and $- 6$ .

Factor $- 3$ out of $- 15$ .

$x = \frac{- 3 (5)}{- 6}$

Cancel the common factors.

Factor $- 3$ out of $- 6$ .

$x = \frac{- 3 \cdot 5}{- 3 \cdot 2}$

Cancel the common factor.

$x = \frac{- 3 \cdot 5}{- 3 \cdot 2}$

Rewrite the expression.

$x = \frac{5}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{5}{2}$

Decimal Form:

$x = 2.5$

Mixed Number Form:

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

Solve for x x-(8-5x)=12x-23

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