Solve for x 2(-3(x-1)+5)-2(3x-5)=2(1-2x)

$2 (- 3 (x - 1) + 5) - 2 (3 x - 5) = 2 (1 - 2 x)$

Simplify $2 (- 3 (x - 1) + 5) - 2 (3 x - 5)$ .

Simplify each term.

Apply the distributive property.

$2 (- 3 x - 3 \cdot - 1 + 5) - 2 (3 x - 5) = 2 (1 - 2 x)$

Multiply $- 3$ by $- 1$ .

$2 (- 3 x + 3 + 5) - 2 (3 x - 5) = 2 (1 - 2 x)$

Add $3$ and $5$ .

$2 (- 3 x + 8) - 2 (3 x - 5) = 2 (1 - 2 x)$

Apply the distributive property.

$2 (- 3 x) + 2 \cdot 8 - 2 (3 x - 5) = 2 (1 - 2 x)$

Multiply $- 3$ by $2$ .

$- 6 x + 2 \cdot 8 - 2 (3 x - 5) = 2 (1 - 2 x)$

Multiply $2$ by $8$ .

$- 6 x + 16 - 2 (3 x - 5) = 2 (1 - 2 x)$

Apply the distributive property.

$- 6 x + 16 - 2 (3 x) - 2 \cdot - 5 = 2 (1 - 2 x)$

Multiply $3$ by $- 2$ .

$- 6 x + 16 - 6 x - 2 \cdot - 5 = 2 (1 - 2 x)$

Multiply $- 2$ by $- 5$ .

$- 6 x + 16 - 6 x + 10 = 2 (1 - 2 x)$

Simplify by adding terms.

Subtract $6 x$ from $- 6 x$ .

$- 12 x + 16 + 10 = 2 (1 - 2 x)$

Add $16$ and $10$ .

$- 12 x + 26 = 2 (1 - 2 x)$

Simplify $2 (1 - 2 x)$ .

Apply the distributive property.

$- 12 x + 26 = 2 \cdot 1 + 2 (- 2 x)$

Multiply.

Multiply $2$ by $1$ .

$- 12 x + 26 = 2 + 2 (- 2 x)$

Multiply $- 2$ by $2$ .

$- 12 x + 26 = 2 - 4 x$

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

Add $4 x$ to both sides of the equation.

$- 12 x + 26 + 4 x = 2$

Add $- 12 x$ and $4 x$ .

$- 8 x + 26 = 2$

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

Subtract $26$ from both sides of the equation.

$- 8 x = 2 - 26$

Subtract $26$ from $2$ .

$- 8 x = - 24$

Divide each term in $- 8 x = - 24$ by $- 8$ and simplify.

Divide each term in $- 8 x = - 24$ by $- 8$ .

$\frac{- 8 x}{- 8} = \frac{- 24}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{- 24}{- 8}$

Divide $x$ by $1$ .

$x = \frac{- 24}{- 8}$

Simplify the right side.

Divide $- 24$ by $- 8$ .

$x = 3$

Solve for x 2(-3(x-1)+5)-2(3x-5)=2(1-2x)

Related Questions

Support LCMGCF.com by disabling your adblocker.