Solve for x 5-3x=3-5x-(8-2x)

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

Step 1

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

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

Step 2

Simplify $3 - 5 x - (8 - 2 x)$ .

Simplify each term.

Apply the distributive property.

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

Multiply $- 1$ by $8$ .

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

Multiply $- 2$ by $- 1$ .

$3 - 5 x - 8 + 2 x = 5 - 3 x$

Simplify by adding terms.

Subtract $8$ from $3$ .

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

Add $- 5 x$ and $2 x$ .

$- 3 x - 5 = 5 - 3 x$

Step 3

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

Add $3 x$ to both sides of the equation.

$- 3 x - 5 + 3 x = 5$

Combine the opposite terms in $- 3 x - 5 + 3 x$ .

Add $- 3 x$ and $3 x$ .

$0 - 5 = 5$

Subtract $5$ from $0$ .

$- 5 = 5$

Step 4

Since $- 5 \neq 5$ , there are no solutions.

No solution