Solve for x 4x-(4-x)=5x

$4 x - (4 - x) = 5 x$

Step 1

Simplify $4 x - (4 - x)$ .

Simplify each term.

Apply the distributive property.

$4 x - 1 \cdot 4 - - x = 5 x$

Multiply $- 1$ by $4$ .

$4 x - 4 - - x = 5 x$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$4 x - 4 + 1 x = 5 x$

Multiply $x$ by $1$ .

$4 x - 4 + x = 5 x$

Add $4 x$ and $x$ .

$5 x - 4 = 5 x$

Step 2

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

Subtract $5 x$ from both sides of the equation.

$5 x - 4 - 5 x = 0$

Combine the opposite terms in $5 x - 4 - 5 x$ .

Subtract $5 x$ from $5 x$ .

$0 - 4 = 0$

Subtract $4$ from $0$ .

$- 4 = 0$

Step 3

Since $- 4 \neq 0$ , there are no solutions.

No solution