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

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

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

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

Simplify $2 (x - 5 (x - 6))$ .

Start simplifying.

$0 + 0 + 2 (x - 5 (x - 6)) = 4 (3 x - 2)$

Simplify by adding zeros.

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

Simplify each term.

Apply the distributive property.

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

Multiply $- 5$ by $- 6$ .

$2 (x - 5 x + 30) = 4 (3 x - 2)$

Simplify terms.

Subtract $5 x$ from $x$ .

$2 (- 4 x + 30) = 4 (3 x - 2)$

Apply the distributive property.

$2 (- 4 x) + 2 \cdot 30 = 4 (3 x - 2)$

Multiply.

Multiply $- 4$ by $2$ .

$- 8 x + 2 \cdot 30 = 4 (3 x - 2)$

Multiply $2$ by $30$ .

$- 8 x + 60 = 4 (3 x - 2)$

Simplify $4 (3 x - 2)$ .

Apply the distributive property.

$- 8 x + 60 = 4 (3 x) + 4 \cdot - 2$

Multiply.

Multiply $3$ by $4$ .

$- 8 x + 60 = 12 x + 4 \cdot - 2$

Multiply $4$ by $- 2$ .

$- 8 x + 60 = 12 x - 8$

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

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

$- 8 x + 60 - 12 x = - 8$

Subtract $12 x$ from $- 8 x$ .

$- 20 x + 60 = - 8$

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

Subtract $60$ from both sides of the equation.

$- 20 x = - 8 - 60$

Subtract $60$ from $- 8$ .

$- 20 x = - 68$

Divide each term in $- 20 x = - 68$ by $- 20$ and simplify.

Divide each term in $- 20 x = - 68$ by $- 20$ .

$\frac{- 20 x}{- 20} = \frac{- 68}{- 20}$

Simplify the left side.

Cancel the common factor of $- 20$ .

Cancel the common factor.

$\frac{- 20 x}{- 20} = \frac{- 68}{- 20}$

Divide $x$ by $1$ .

$x = \frac{- 68}{- 20}$

Simplify the right side.

Cancel the common factor of $- 68$ and $- 20$ .

Factor $- 4$ out of $- 68$ .

$x = \frac{- 4 (17)}{- 20}$

Cancel the common factors.

Factor $- 4$ out of $- 20$ .

$x = \frac{- 4 \cdot 17}{- 4 \cdot 5}$

Cancel the common factor.

$x = \frac{- 4 \cdot 17}{- 4 \cdot 5}$

Rewrite the expression.

$x = \frac{17}{5}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{17}{5}$

Decimal Form:

$x = 3.4$

Mixed Number Form:

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

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

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