How to solve (3x-5)/(2)=4x-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 (3x-5)/(2)=4x-3 | Equatix

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Question

$$\frac{ 3x-5 }{ 2 } =4x-3$$

Solve for x

$x=\frac{1}{5}=0.2$

Steps for Solving Linear Equation

Multiply both sides of the equation by $2$.

$$3x-5=8x-6$$

Subtract $8x$ from both sides.

$$3x-5-8x=-6$$

Combine $3x$ and $-8x$ to get $-5x$.

$$-5x-5=-6$$

Add $5$ to both sides.

$$-5x=-6+5$$

Add $-6$ and $5$ to get $-1$.

$$-5x=-1$$

Divide both sides by $-5$.

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

Fraction $\frac{-1}{-5}$ can be simplified to $\frac{1}{5}$ by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{5}$$

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Question

Solve for x

Steps for Solving Linear Equation