How to solve 5x-(14-x)=-30-2x

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 5x-(14-x)=-30-2x | Equatix

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

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

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Question

$$5x-(14-x)=-30-2x$$

Solve for x

$x=-2$

Steps for Solving Linear Equation

To find the opposite of $14-x$, find the opposite of each term.

$$5x-14-\left(-x\right)=-30-2x$$

The opposite of $-x$ is $x$.

$$5x-14+x=-30-2x$$

Combine $5x$ and $x$ to get $6x$.

$$6x-14=-30-2x$$

Add $2x$ to both sides.

$$6x-14+2x=-30$$

Combine $6x$ and $2x$ to get $8x$.

$$8x-14=-30$$

Add $14$ to both sides.

$$8x=-30+14$$

Add $-30$ and $14$ to get $-16$.

$$8x=-16$$

Divide both sides by $8$.

$$x=\frac{-16}{8}$$

Divide $-16$ by $8$ to get $-2$.

$$x=-2$$

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Solve for x

Steps for Solving Linear Equation