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antiseptic1488 [7]
2 years ago
9

What's the equation for twice the difference of a number and 6 is equal to three times the sum of the number and 3

Mathematics
1 answer:
alukav5142 [94]2 years ago
8 0
2(x-6)=3(x+3)

Let's solve your equation step-by-step.

<span><span>2<span>(<span>x−6</span>)</span></span>=<span>3<span>(<span>x+3</span>)

</span></span></span>Step 1: Simplify both sides of the equation.

<span><span>2<span>(<span>x−6</span>)</span></span>=<span>3<span>(<span>x+3</span>)

</span></span></span><span>Simplify: (Show steps)

</span><span><span><span>2x</span>−12</span>=<span><span>3x</span>+9

</span></span>Step 2: Subtract 3x from both sides.

<span><span><span><span>2x</span>−12</span>−<span>3x</span></span>=<span><span><span>3x</span>+9</span>−<span>3x

</span></span></span><span><span><span>−x</span>−12</span>=9

</span>Step 3: Add 12 to both sides.

<span><span><span><span>−x</span>−12</span>+12</span>=<span>9+12

</span></span><span><span>−x</span>=21

</span>Step 4: Divide both sides by -1.

<span><span><span>−x/</span><span>−1</span></span>=<span>21/<span>−1

</span></span></span><span>x=<span>−21

</span></span>Answer:

<span>x=<span>−<span>21</span></span></span>
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