Pre-Algebra Examples

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

Step 1

Simplify $\frac{1}{2} x + \frac{1}{2} x$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Combine $\frac{1}{2}$ and $x$ .

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

Step 1.1.2

Combine $\frac{1}{2}$ and $x$ .

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

Step 1.2

Simplify terms.

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Step 1.2.1

Combine the numerators over the common denominator.

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

Step 1.2.2

Add $x$ and $x$ .

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

Step 1.2.3

Cancel the common factor of $2$ .

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Step 1.2.3.1

Cancel the common factor.

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

Step 1.2.3.2

Divide $x$ by $1$ .

$x = x + 1$

Step 2

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

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Step 2.1

Subtract $x$ from both sides of the equation.

$x - x = 1$

Step 2.2

Subtract $x$ from $x$ .

$0 = 1$

Step 3

Since $0 \neq 1$ , there are no solutions.

No solution