How to solve 3x=5x-8/5

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 3x=5x-8/5 | Equatix

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Question

$$3x=5x-8/5$$

Solve for x

$x=\frac{4}{5}=0.8$

Steps for Solving Linear Equation

Subtract $5x$ from both sides.

$$3x-5x=-\frac{8}{5}$$

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

$$-2x=-\frac{8}{5}$$

Divide both sides by $-2$.

$$x=\frac{-\frac{8}{5}}{-2}$$

Express $\frac{-\frac{8}{5}}{-2}$ as a single fraction.

$$x=\frac{-8}{5\left(-2\right)}$$

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

$$x=\frac{-8}{-10}$$

Reduce the fraction $\frac{-8}{-10}$ to lowest terms by extracting and canceling out $-2$.

$$x=\frac{4}{5}$$

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Solve for x

Steps for Solving Linear Equation