Solve (x-11)/(x-5)=(-5)/(1) | 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

$$\frac{ x-11 }{ x-5 } = \frac{ -5 }{ 1 }$$

Solve for x

$x=6$

Steps for Solving Linear Equation

Variable $x$ cannot be equal to $5$ since division by zero is not defined. Multiply both sides of the equation by $x-5$.

$$x-11=\left(x-5\right)\left(-5\right)$$

Use the distributive property to multiply $x-5$ by $-5$.

$$x-11=-5x+25$$

Add $5x$ to both sides.

$$x-11+5x=25$$

Combine $x$ and $5x$ to get $6x$.

$$6x-11=25$$

Add $11$ to both sides.

$$6x=25+11$$

Add $25$ and $11$ to get $36$.

$$6x=36$$

Divide both sides by $6$.

$$x=\frac{36}{6}$$

Divide $36$ by $6$ to get $6$.

$$x=6$$