How to solve (x-5)/3=(x-5)/5

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-5)/3=(x-5)/5 | Equatix

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Question

$$(x-5)/3=(x-5)/5$$

Solve for x

$x=5$

Steps for Solving Linear Equation

Multiply both sides of the equation by $15$, the least common multiple of $3,5$.

$$5\left(x-5\right)=3\left(x-5\right)$$

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

$$5x-25=3\left(x-5\right)$$

Use the distributive property to multiply $3$ by $x-5$.

$$5x-25=3x-15$$

Subtract $3x$ from both sides.

$$5x-25-3x=-15$$

Combine $5x$ and $-3x$ to get $2x$.

$$2x-25=-15$$

Add $25$ to both sides.

$$2x=-15+25$$

Add $-15$ and $25$ to get $10$.

$$2x=10$$

Divide both sides by $2$.

$$x=\frac{10}{2}$$

Divide $10$ by $2$ to get $5$.

$$x=5$$

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Question

Solve for x

Steps for Solving Linear Equation