Solve for x 0.5+x=1.5-x

$0.5 + x = 1.5 - x$

Step 1

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

Add $x$ to both sides of the equation.

$0.5 + x + x = 1.5$

Add $x$ and $x$ .

$0.5 + 2 x = 1.5$

Step 2

Move all terms not containing $x$ to the right side of the equation.

Subtract $0.5$ from both sides of the equation.

$2 x = 1.5 - 0.5$

Subtract $0.5$ from $1.5$ .

$2 x = 1$

Step 3

Divide each term in $2 x = 1$ by $2$ and simplify.

Divide each term in $2 x = 1$ by $2$ .

$\frac{2 x}{2} = \frac{1}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{1}{2}$

Divide $x$ by $1$ .

$x = \frac{1}{2}$

Simplify the right side.

Cancel the common factor of $1$ and $2$ .

Rewrite $1$ as $1 (1)$ .

$x = \frac{1 (1)}{2}$

Cancel the common factors.

Rewrite $2$ as $1 (2)$ .

$x = \frac{1 \cdot 1}{1 \cdot 2}$

Cancel the common factor.

$x = \frac{1 \cdot 1}{1 \cdot 2}$

Rewrite the expression.

$x = \frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{2}$

Decimal Form:

$x = 0.5$