Question

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

Answer 1

`x=6`

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`

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`5x+5* \:2`

⇢
`5x+10`

`5x+10=9x-14`

Now, Subtract 10 from both sides :

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`5x+10-10=9x-14-10`

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`-4x=-24`

Divide both sides by - 4:

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`(-4x)/(-4)=(-24)/(-4)`

⇢
`x=6`

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Answer 2

X=6

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