Solve (x-3)/(5)=(x-2)/(3) | 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

$$\frac{ x-3 }{ 5 } = \frac{ x-2 }{ 3 }$$

Solve for x

$x=\frac{1}{2}=0.5$

Steps for Solving Linear Equation

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

$$3\left(x-3\right)=5\left(x-2\right)$$

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

$$3x-9=5\left(x-2\right)$$

Use the distributive property to multiply $5$ by $x-2$.

$$3x-9=5x-10$$

Subtract $5x$ from both sides.

$$3x-9-5x=-10$$

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

$$-2x-9=-10$$

Add $9$ to both sides.

$$-2x=-10+9$$

Add $-10$ and $9$ to get $-1$.

$$-2x=-1$$

Divide both sides by $-2$.

$$x=\frac{-1}{-2}$$

Fraction $\frac{-1}{-2}$ can be simplified to $\frac{1}{2}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{2}$$