Solve for x 3x-4(5x-2)=12x-(5x-6)

$3 x - 4 (5 x - 2) = 12 x - (5 x - 6)$

Simplify $3 x - 4 (5 x - 2)$ .

Simplify each term.

Apply the distributive property.

$3 x - 4 (5 x) - 4 \cdot - 2 = 12 x - (5 x - 6)$

Multiply $5$ by $- 4$ .

$3 x - 20 x - 4 \cdot - 2 = 12 x - (5 x - 6)$

Multiply $- 4$ by $- 2$ .

$3 x - 20 x + 8 = 12 x - (5 x - 6)$

Subtract $20 x$ from $3 x$ .

$- 17 x + 8 = 12 x - (5 x - 6)$

Simplify $12 x - (5 x - 6)$ .

Simplify each term.

Apply the distributive property.

$- 17 x + 8 = 12 x - (5 x) - - 6$

Multiply $5$ by $- 1$ .

$- 17 x + 8 = 12 x - 5 x - - 6$

Multiply $- 1$ by $- 6$ .

$- 17 x + 8 = 12 x - 5 x + 6$

Subtract $5 x$ from $12 x$ .

$- 17 x + 8 = 7 x + 6$

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

Subtract $7 x$ from both sides of the equation.

$- 17 x + 8 - 7 x = 6$

Subtract $7 x$ from $- 17 x$ .

$- 24 x + 8 = 6$

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

Subtract $8$ from both sides of the equation.

$- 24 x = 6 - 8$

Subtract $8$ from $6$ .

$- 24 x = - 2$

Divide each term in $- 24 x = - 2$ by $- 24$ and simplify.

Divide each term in $- 24 x = - 2$ by $- 24$ .

$\frac{- 24 x}{- 24} = \frac{- 2}{- 24}$

Simplify the left side.

Cancel the common factor of $- 24$ .

Cancel the common factor.

$\frac{- 24 x}{- 24} = \frac{- 2}{- 24}$

Divide $x$ by $1$ .

$x = \frac{- 2}{- 24}$

Simplify the right side.

Cancel the common factor of $- 2$ and $- 24$ .

Factor $- 2$ out of $- 2$ .

$x = \frac{- 2 (1)}{- 24}$

Cancel the common factors.

Factor $- 2$ out of $- 24$ .

$x = \frac{- 2 \cdot 1}{- 2 \cdot 12}$

Cancel the common factor.

$x = \frac{- 2 \cdot 1}{- 2 \cdot 12}$

Rewrite the expression.

$x = \frac{1}{12}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{12}$

Decimal Form:

$x = 0.08\overline{3}$

Solve for x 3x-4(5x-2)=12x-(5x-6)

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