Solve for x 4x-6+3(2-x)=2x-(x-4)

$4 x - 6 + 3 (2 - x) = 2 x - (x - 4)$

Step 1

Simplify $4 x - 6 + 3 (2 - x)$ .

Simplify each term.

Apply the distributive property.

$4 x - 6 + 3 \cdot 2 + 3 (- x) = 2 x - (x - 4)$

Multiply $3$ by $2$ .

$4 x - 6 + 6 + 3 (- x) = 2 x - (x - 4)$

Multiply $- 1$ by $3$ .

$4 x - 6 + 6 - 3 x = 2 x - (x - 4)$

Simplify by adding terms.

Combine the opposite terms in $4 x - 6 + 6 - 3 x$ .

Add $- 6$ and $6$ .

$4 x + 0 - 3 x = 2 x - (x - 4)$

Add $4 x$ and $0$ .

$4 x - 3 x = 2 x - (x - 4)$

Subtract $3 x$ from $4 x$ .

$x = 2 x - (x - 4)$

Step 2

Simplify $2 x - (x - 4)$ .

Simplify each term.

Apply the distributive property.

$x = 2 x - x - - 4$

Multiply $- 1$ by $- 4$ .

$x = 2 x - x + 4$

Subtract $x$ from $2 x$ .

$x = x + 4$

Step 3

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

Subtract $x$ from both sides of the equation.

$x - x = 4$

Subtract $x$ from $x$ .

$0 = 4$

Step 4

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

No solution