Solve 6 (x - 5)/3 = (x - 3)/5 - 2 л | 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

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

Solve for x

$x=-7$

Steps for Solving Linear Equation

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

$$5\left(x-5\right)=3\left(x-3\right)-30$$

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

$$5x-25=3\left(x-3\right)-30$$

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

$$5x-25=3x-9-30$$

Subtract $30$ from $-9$ to get $-39$.

$$5x-25=3x-39$$

Subtract $3x$ from both sides.

$$5x-25-3x=-39$$

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

$$2x-25=-39$$

Add $25$ to both sides.

$$2x=-39+25$$

Add $-39$ and $25$ to get $-14$.

$$2x=-14$$

Divide both sides by $2$.

$$x=\frac{-14}{2}$$

Divide $-14$ by $2$ to get $-7$.

$$x=-7$$