How to solve a/x + b = c

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 a/x + b = c | Equatix

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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$\frac{a}{x}+b=c$$

Solve for b

$b=c-\frac{a}{x}$
$x\neq 0$

Steps for Solving Linear Equation

Multiply both sides of the equation by $x$.

$$a+xb=cx$$

Subtract $a$ from both sides.

$$xb=cx-a$$

Divide both sides by $x$.

$$\frac{xb}{x}=\frac{cx-a}{x}$$

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

$$b=\frac{cx-a}{x}$$

Divide $cx-a$ by $x$.

$$b=c-\frac{a}{x}$$

Show Solution

Solve for a

$a=x\left(c-b\right)$
$x\neq 0$

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Example

Question

Solve for b

Steps for Solving Linear Equation

Solve for a