How to solve 2(x-6)=-3(5+x)

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(x-6)=-3(5+x) | Equatix

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Question

$$2(x-6)=-3(5+x)$$

Solve for x

$x=-\frac{3}{5}=-0.6$

Steps for Solving Linear Equation

Use the distributive property to multiply $2$ by $x-6$.

$$2x-12=-3\left(5+x\right)$$

Use the distributive property to multiply $-3$ by $5+x$.

$$2x-12=-15-3x$$

Add $3x$ to both sides.

$$2x-12+3x=-15$$

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

$$5x-12=-15$$

Add $12$ to both sides.

$$5x=-15+12$$

Add $-15$ and $12$ to get $-3$.

$$5x=-3$$

Divide both sides by $5$.

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

Fraction $\frac{-3}{5}$ can be rewritten as $-\frac{3}{5}$ by extracting the negative sign.

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

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Solve for x

Steps for Solving Linear Equation