How to solve (3)/(5)-x=(2)/(3)

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

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Question

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

Solve for x

$x=-\frac{1}{15}\approx -0.066666667$

Steps for Solving Linear Equation

Subtract $\frac{3}{5}$ from both sides.

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

Least common multiple of $3$ and $5$ is $15$. Convert $\frac{2}{3}$ and $\frac{3}{5}$ to fractions with denominator $15$.

$$-x=\frac{10}{15}-\frac{9}{15}$$

Since $\frac{10}{15}$ and $\frac{9}{15}$ have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{10-9}{15}$$

Subtract $9$ from $10$ to get $1$.

$$-x=\frac{1}{15}$$

Multiply both sides by $-1$.

$$x=-\frac{1}{15}$$

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Solve for x

Steps for Solving Linear Equation