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barxatty [35]
4 years ago
7

Please solve this equation and show work -4(2+4x)-2=-10-8x

Mathematics
2 answers:
Maslowich4 years ago
6 0
<span><span><span>−<span>4<span>(<span>2+<span>4x</span></span>)</span></span></span>−2</span>=<span><span>−10</span>−<span>8x</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>−<span>4<span>(<span>2+<span>4x</span></span>)</span></span></span>−2</span>=<span><span>−10</span>−<span>8x</span></span></span> <span>Simplify:
</span> <span><span><span><span><span><span>(<span>−4</span>)</span><span>(2)</span></span>+<span><span>(<span>−4</span>)</span><span>(<span>4x</span>)</span></span></span>+</span>−2</span>=<span><span><span>−10</span>+</span>−<span>8x</span></span></span>(Distribute)<span><span><span><span><span><span>−8</span>+</span>−<span>16x</span></span>+</span>−2</span>=<span><span><span>−10</span>+</span>−<span>8x</span></span></span><span><span><span>(<span>−<span>16x</span></span>)</span>+<span>(<span><span>−8</span>+<span>−2</span></span>)</span></span>=<span><span>−<span>8x</span></span>−10</span></span>(Combine Like Terms)<span><span><span>−<span>16x</span></span>+<span>−10</span></span>=<span><span>−<span>8x</span></span>−10</span></span> <span><span><span>−<span>16x</span></span>−10</span>=<span><span>−<span>8x</span></span>−10</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>−10</span>+<span>8x</span></span></span><span><span><span>−<span>8x</span></span>−10</span>=<span>−10</span></span>Step 3: Add 10 to both sides.<span><span><span><span>−<span>8x</span></span>−10</span>+10</span>=<span><span>−10</span>+10</span></span><span><span>−<span>8x</span></span>=0</span>Step 4: Divide both sides by -8.<span><span><span>−<span>8x</span></span><span>−8</span></span>=<span>0<span>−8</span></span></span><span>x=0</span>Answer:<span>x=0</span>
skelet666 [1.2K]4 years ago
5 0
-4(2+4x)-2=-10-8x
-8-16X-2=-10-8X
+8X on both sides
-8-8X=-10
+8 on both sides
-8X=-2
divide by -8 on both sides
X=.25 is your answer
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