How to solve (x-5/2) imes8=3x

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 (x-5/2)\times8=3x | Equatix

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Question

$$(x-5/2) \times 8=3x$$

Solve for x

$x=4$

Steps for Solving Linear Equation

Use the distributive property to multiply $x-\frac{5}{2}$ by $8$.

$$8x-\frac{5}{2}\times 8=3x$$

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

$$8x+\frac{-5\times 8}{2}=3x$$

Multiply $-5$ and $8$ to get $-40$.

$$8x+\frac{-40}{2}=3x$$

Divide $-40$ by $2$ to get $-20$.

$$8x-20=3x$$

Subtract $3x$ from both sides.

$$8x-20-3x=0$$

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

$$5x-20=0$$

Add $20$ to both sides. Anything plus zero gives itself.

$$5x=20$$

Divide both sides by $5$.

$$x=\frac{20}{5}$$

Divide $20$ by $5$ to get $4$.

$$x=4$$

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Question

Solve for x

Steps for Solving Linear Equation