How to solve 7-2(x+27)=47x

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 7-2(x+27)=47x | Equatix

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Question

$$7-2(x+27)=47x$$

Solve for x

$x=-\frac{47}{49}\approx -0.959183673$

Steps for Solving Linear Equation

Use the distributive property to multiply $-2$ by $x+27$.

$$7-2x-54=47x$$

Subtract $54$ from $7$ to get $-47$.

$$-47-2x=47x$$

Subtract $47x$ from both sides.

$$-47-2x-47x=0$$

Combine $-2x$ and $-47x$ to get $-49x$.

$$-47-49x=0$$

Add $47$ to both sides. Anything plus zero gives itself.

$$-49x=47$$

Divide both sides by $-49$.

$$x=\frac{47}{-49}$$

Fraction $\frac{47}{-49}$ can be rewritten as $-\frac{47}{49}$ by extracting the negative sign.

$$x=-\frac{47}{49}$$

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Question

Solve for x

Steps for Solving Linear Equation