Algebra Examples

$f (x) = x + 4$ , $f (x) = 3 x$

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

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Subtract $3 x$ from both sides of the equation.

$x + 4 - 3 x = 0$

Subtract $3 x$ from $x$ .

$- 2 x + 4 = 0$

Subtract $4$ from both sides of the equation.

$- 2 x = - 4$

Divide each term by $- 2$ and simplify.

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Divide each term in $- 2 x = - 4$ by $- 2$ .

$- \frac{2 x}{- 2} = - \frac{4}{- 2}$

Simplify the left side of the equation by cancelling the common factors.

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Reduce the expression by cancelling the common factors.

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Factor $2$ out of $2 x$ .

$- \frac{2 (x)}{- 2} = - \frac{4}{- 2}$

Move the negative one from the denominator of $\frac{x}{- 1}$ .

$- (- 1 \cdot x) = - \frac{4}{- 2}$

Simplify the expression.

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Multiply $- 1$ by $x$ .

$- (- 1 x) = - \frac{4}{- 2}$

Rewrite $- 1 x$ as $- x$ .

$x = - \frac{4}{- 2}$

Divide $4$ by $- 2$ .

$x = 2$

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