Solve F(x)=-(x+3)(2+4)/() | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$F(x)=-(x+3) \frac{ 2+4 }{ }$$

Solve for F

$F=-6-\frac{18}{x}$
$x\neq 0$

Steps for Solving Linear Equation

To find the opposite of $x+3$, find the opposite of each term.

$$Fx=\left(-x-3\right)\times \frac{2+4}{1}$$

Add $2$ and $4$ to get $6$.

$$Fx=\left(-x-3\right)\times \frac{6}{1}$$

Anything divided by one gives itself.

$$Fx=\left(-x-3\right)\times 6$$

Use the distributive property to multiply $-x-3$ by $6$.

$$Fx=-6x-18$$

The equation is in standard form.

$$xF=-6x-18$$

Divide both sides by $x$.

$$\frac{xF}{x}=\frac{-6x-18}{x}$$

Dividing by $x$ undoes the multiplication by $x$.

$$F=\frac{-6x-18}{x}$$

Divide $-6x-18$ by $x$.

$$F=-6-\frac{18}{x}$$

Solve for x

$x=-\frac{18}{F+6}$
$F\neq -6$

Steps for Solving Linear Equation

To find the opposite of $x+3$, find the opposite of each term.

$$Fx=\left(-x-3\right)\times \frac{2+4}{1}$$

Add $2$ and $4$ to get $6$.

$$Fx=\left(-x-3\right)\times \frac{6}{1}$$

Anything divided by one gives itself.

$$Fx=\left(-x-3\right)\times 6$$

Use the distributive property to multiply $-x-3$ by $6$.

$$Fx=-6x-18$$

Add $6x$ to both sides.

$$Fx+6x=-18$$

Combine all terms containing $x$.

$$\left(F+6\right)x=-18$$

Divide both sides by $F+6$.

$$\frac{\left(F+6\right)x}{F+6}=-\frac{18}{F+6}$$

Dividing by $F+6$ undoes the multiplication by $F+6$.

$$x=-\frac{18}{F+6}$$