Question

Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work.

Answer 1

Answer:

X=6

Step-by-step explanation:

5(x+2)=6x+3x−1

Step 1: Simplify both sides of the equation.

5(x+2)=6x+3x−14

(5)(x)+(5)(2)=6x+3x+−14(Distribute)

5x+10=6x+3x+−14

5x+10=(6x+3x)+(−14)(Combine Like Terms)

5x+10=9x+−14

5x+10=9x−14

Step 2: Subtract 9x from both sides.

5x+10−9x=9x−14−9x

−4x+10=−14

Step 3: Subtract 10 from both sides.

−4x+10−10=−14−10

−4x=−24

Step 4: Divide both sides by -4.

−4x / -4= −24 / −4

x=6

Answer 2

Answer:

$x=6$

Step-by-step explanation:-

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$5\left(x+2\right)=6x+3x-14$

First, we will Add smiler elements: $6x+3x=9x$

⇢ $5\left(x+2\right)=9x-14$

Expand $5(x+2)$ by applying Distributive law: $a(b+c)=ab+ac$

⇢ $5x+5\times \:2$

⇢ $5x+10$

$5x+10=9x-14$

Now, Subtract 10 from both sides :

⇢ $5x+10-10=9x-14-10$

⇢ $-4x=-24$

Divide both sides by - 4:

⇢ $\frac{-4x}{-4}=\frac{-24}{-4}$

⇢ $x=6$

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