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Afina-wow [57]
3 years ago
13

What's the answer to 4x + 6 = 2 ( 3x - 4 )

Mathematics
2 answers:
Tcecarenko [31]3 years ago
8 0
<span><span><span>4x</span>+6</span>=<span>2<span>(<span><span>3x</span>−4</span>)
</span></span></span>
<span><span><span /></span></span>Step 1: Simplify both sides of the equation.
<span><span><span>4x</span>+6</span>=<span>2<span>(<span><span>3x</span>−4</span>)
</span></span></span>
<span><span><span /></span></span><span><span><span>4x</span>+6</span>=<span><span><span>(2)</span><span>(<span>3x</span>)</span></span>+<span><span>(2)</span><span>(<span>−4</span>)</span></span></span></span>(Distribute)
<span><span><span>4x</span>+6</span>=<span><span><span>6x</span>+</span>−8
</span></span>
<span><span /></span><span><span><span>4x</span>+6</span>=<span><span>6x</span>−8
</span></span>
<span><span /></span>Step 2: Subtract 6x from both sides.
<span><span><span><span>4x</span>+6</span>−<span>6x</span></span>=<span><span><span>6x</span>−8</span>−<span>6x
</span></span></span>
<span><span><span /></span></span><span><span><span>−<span>2x</span></span>+6</span>=<span>−8
</span></span>
<span><span /></span>Step 3: Subtract 6 from both sides.
<span><span><span><span>−<span>2x</span></span>+6</span>−6</span>=<span><span>−8</span>−6
</span></span>
<span><span /></span><span><span>−<span>2x</span></span>=<span>−14
</span></span>
<span><span /></span>Step 4: Divide both sides by -2.
<span><span><span>−<span>2x</span></span><span>−2</span></span>=<span><span>−14</span><span>−2
</span></span></span>
<span><span><span /></span></span><span>x=7
</span>
<span />
Nina [5.8K]3 years ago
6 0

4x+6=2(3x-4) (simplify to the right)

4x+6=6x-8 (move all terms not containing x to the right of the equation)

-2x=6=-8

-2x=-14 (divide each term by -2)

x=7


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