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3 years ago

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4-2(7+8x)=12-6(2x-7)+4x

1 answer:

Aleks04 [339]3 years ago

8 0

<span><span>4−<span>2<span>(<span>7+<span>8x</span></span>)</span></span></span>=<span><span>12−<span>6<span>(<span><span>2x</span>−7</span>)</span></span></span>+<span>4x
</span></span></span>
<span><span>4−<span>2<span>(<span>7+<span>8x</span></span>)</span></span></span>=<span><span>12−<span>6<span>(<span><span>2x</span>−7</span>)</span></span></span>+<span>4x

</span></span></span><span><span><span>4+<span><span>(<span>−2</span>)</span><span>(7)</span></span></span>+<span><span>(<span>−2</span>)</span><span>(<span>8x</span>)</span></span></span>=<span><span><span>12+<span><span>(<span>−6</span>)</span><span>(<span>2x</span>)</span></span></span>+<span><span>(<span>−6</span>)</span><span>(<span>−7</span>)</span></span></span>+<span>4x</span></span></span>(Distribute)

<span><span><span><span><span>4+</span>−14</span>+</span>−<span>16x</span></span>=<span><span><span><span>12+</span>−<span>12x</span></span>+42</span>+<span>4x

</span></span></span><span><span><span>(<span>−<span>16x</span></span>)</span>+<span>(<span>4+<span>−14</span></span>)</span></span>=<span><span>(<span><span>−<span>12x</span></span>+<span>4x</span></span>)</span>+<span>(<span>12+42</span>)</span></span></span>(Combine Like Terms)

<span><span><span>−<span>16x</span></span>+<span>−10</span></span>=<span><span>−<span>8x</span></span>+54

</span></span><span><span><span>−<span>16x</span></span>−10</span>=<span><span>−<span>8x</span></span>+54

</span></span>Step 2: Add 8x to both sides.

<span><span><span><span>−<span>16x</span></span>−10</span>+<span>8x</span></span>=<span><span><span>−<span>8x</span></span>+54</span>+<span>8x

</span></span></span><span><span><span>−<span>8x</span></span>−10</span>=54

</span>Step 3: Add 10 to both sides.

<span><span><span><span>−<span>8x</span></span>−10</span>+10</span>=<span>54+10

</span></span><span><span>−<span>8x</span></span>=64

</span>Step 4: Divide both sides by -8.

<span><span><span>−<span>8x</span></span><span>−8</span></span>=<span>64<span>−8

</span></span></span><span>x=<span>−<span>8</span></span></span>

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