Solve for x f(x)=1/2x-3

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Algebra

$f (x) = \frac{1}{2} x - 3$

Set $\frac{1}{2} x - 3$ equal to $0$ .

$\frac{1}{2} x - 3 = 0$

Solve for $x$ .

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

$\frac{x}{2} - 3 = 0$

Add $3$ to both sides of the equation.

$\frac{x}{2} = 3$

Multiply both sides of the equation by $2$ .

$2 \frac{x}{2} = 2 \cdot 3$

Simplify both sides of the equation.

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Simplify the left side.

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Cancel the common factor of $2$ .

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Cancel the common factor.

$2 \frac{x}{2} = 2 \cdot 3$

Rewrite the expression.

$x = 2 \cdot 3$

Simplify the right side.

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Multiply $2$ by $3$ .

$x = 6$

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