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

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

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

Simplify each term.

Apply the distributive property.

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

Multiply $- 3$ by $2$ .

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

Multiply $- 3$ by $- 3$ .

$x - 6 + 9 x = 2 (5 x + 3)$

Add $x$ and $9 x$ .

$10 x - 6 = 2 (5 x + 3)$

Simplify $2 (5 x + 3)$ .

Apply the distributive property.

$10 x - 6 = 2 (5 x) + 2 \cdot 3$

Multiply.

Multiply $5$ by $2$ .

$10 x - 6 = 10 x + 2 \cdot 3$

Multiply $2$ by $3$ .

$10 x - 6 = 10 x + 6$

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

Subtract $10 x$ from both sides of the equation.

$10 x - 6 - 10 x = 6$

Combine the opposite terms in $10 x - 6 - 10 x$ .

Subtract $10 x$ from $10 x$ .

$0 - 6 = 6$

Subtract $6$ from $0$ .

$- 6 = 6$

Since $- 6 \neq 6$ , there are no solutions.

No solution