Solve (3x)/(5)-(2x)/(3)+(1)/(5)=0 | 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

$$\frac{ 3x }{ 5 } - \frac{ 2x }{ 3 } + \frac{ 1 }{ 5 } =0$$

Solve for x

$x=3$

Steps for Solving Linear Equation

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

$$3\times 3x-5\times 2x+3=0$$

Multiply $3$ and $3$ to get $9$.

$$9x-5\times 2x+3=0$$

Multiply $-5$ and $2$ to get $-10$.

$$9x-10x+3=0$$

Combine $9x$ and $-10x$ to get $-x$.

$$-x+3=0$$

Subtract $3$ from both sides. Anything subtracted from zero gives its negation.

$$-x=-3$$

Multiply both sides by $-1$.

$$x=3$$