How to solve - x + 8 = gx

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve - x + 8 = gx | Equatix

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$-x+8=gx$$

Solve for g

$g=-1+\frac{8}{x}$
$x\neq 0$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$gx=-x+8$$

The equation is in standard form.

$$xg=8-x$$

Divide both sides by $x$.

$$\frac{xg}{x}=\frac{8-x}{x}$$

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

$$g=\frac{8-x}{x}$$

Divide $-x+8$ by $x$.

$$g=-1+\frac{8}{x}$$

Show Solution

Solve for x

$x=\frac{8}{g+1}$
$g\neq -1$

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Example

Question

Solve for g

Steps for Solving Linear Equation

Solve for x