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

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

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.

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

Step 2

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

Simplify each term.

Apply the distributive property.

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

Multiply $2$ by $3$ .

$2 x + 6 - x = x + 6$

Subtract $x$ from $2 x$ .

$x + 6 = x + 6$

Step 3

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

Subtract $x$ from both sides of the equation.

$x + 6 - x = 6$

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

Subtract $x$ from $x$ .

$0 + 6 = 6$

Add $0$ and $6$ .

$6 = 6$

Step 4

Since $6 = 6$ , the equation will always be true for any value of $x$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$