Solve for x 5-3(2x-7)=2(7-3x)

$5 - 3 (2 x - 7) = 2 (7 - 3 x)$

Simplify $5 - 3 (2 x - 7)$ .

Simplify each term.

Apply the distributive property.

$5 - 3 (2 x) - 3 \cdot - 7 = 2 (7 - 3 x)$

Multiply $2$ by $- 3$ .

$5 - 6 x - 3 \cdot - 7 = 2 (7 - 3 x)$

Multiply $- 3$ by $- 7$ .

$5 - 6 x + 21 = 2 (7 - 3 x)$

Add $5$ and $21$ .

$- 6 x + 26 = 2 (7 - 3 x)$

Simplify $2 (7 - 3 x)$ .

Apply the distributive property.

$- 6 x + 26 = 2 \cdot 7 + 2 (- 3 x)$

Multiply.

Multiply $2$ by $7$ .

$- 6 x + 26 = 14 + 2 (- 3 x)$

Multiply $- 3$ by $2$ .

$- 6 x + 26 = 14 - 6 x$

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

Add $6 x$ to both sides of the equation.

$- 6 x + 26 + 6 x = 14$

Combine the opposite terms in $- 6 x + 26 + 6 x$ .

Add $- 6 x$ and $6 x$ .

$0 + 26 = 14$

Add $0$ and $26$ .

$26 = 14$

Since $26 \neq 14$ , there are no solutions.

No solution