How to solve 2(12-x)=x-12

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 2(12-x)=x-12 | Equatix

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Question

$$2(12-x)=x-12$$

Solve for x

$x=12$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $12-x$.

$$24-2x=x-12$$

Subtract $x$ from both sides.

$$24-2x-x=-12$$

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

$$24-3x=-12$$

Subtract $24$ from both sides.

$$-3x=-12-24$$

Subtract $24$ from $-12$ to get $-36$.

$$-3x=-36$$

Divide both sides by $-3$.

$$x=\frac{-36}{-3}$$

Divide $-36$ by $-3$ to get $12$.

$$x=12$$

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Question

Solve for x

Steps for Solving Linear Equation