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

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 5(x-2)=3(x-4) | Equatix

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3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$5(x-2)=3(x-4)$$

Solve for x

$x=-1$

Steps for Solving Linear Equation

Use the distributive property to multiply $5$ by $x-2$.

$$5x-10=3\left(x-4\right)$$

Use the distributive property to multiply $3$ by $x-4$.

$$5x-10=3x-12$$

Subtract $3x$ from both sides.

$$5x-10-3x=-12$$

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

$$2x-10=-12$$

Add $10$ to both sides.

$$2x=-12+10$$

Add $-12$ and $10$ to get $-2$.

$$2x=-2$$

Divide both sides by $2$.

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

Divide $-2$ by $2$ to get $-1$.

$$x=-1$$

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Question

Solve for x

Steps for Solving Linear Equation