How to solve -4(x-8)=-6(4+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 -4(x-8)=-6(4+3x) | Equatix

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Question

$$-4(x-8)=-6(4+3x)$$

Solve for x

$x=-4$

Steps for Solving Linear Equation

Use the distributive property to multiply $-4$ by $x-8$.

$$-4x+32=-6\left(4+3x\right)$$

Use the distributive property to multiply $-6$ by $4+3x$.

$$-4x+32=-24-18x$$

Add $18x$ to both sides.

$$-4x+32+18x=-24$$

Combine $-4x$ and $18x$ to get $14x$.

$$14x+32=-24$$

Subtract $32$ from both sides.

$$14x=-24-32$$

Subtract $32$ from $-24$ to get $-56$.

$$14x=-56$$

Divide both sides by $14$.

$$x=\frac{-56}{14}$$

Divide $-56$ by $14$ to get $-4$.

$$x=-4$$

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Solve for x

Steps for Solving Linear Equation