How to solve 5x+3=3x-2

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 5x+3=3x-2 | Equatix

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Question

$$5x+3=3x-2$$

Solve for x

$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$

Steps for Solving Linear Equation

Subtract $3x$ from both sides.

$$5x+3-3x=-2$$

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

$$2x+3=-2$$

Subtract $3$ from both sides.

$$2x=-2-3$$

Subtract $3$ from $-2$ to get $-5$.

$$2x=-5$$

Divide both sides by $2$.

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

Fraction $\frac{-5}{2}$ can be rewritten as $-\frac{5}{2}$ by extracting the negative sign.

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

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Question

Solve for x

Steps for Solving Linear Equation