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netineya [11]
3 years ago
5

4.5(8-x) + 36=102-2.5(3x+24) what’s x?

Mathematics
2 answers:
zmey [24]3 years ago
4 0
First, group your like terms:
30-4.5x+36=102-7.5x-60
30+36-4.5x=102-60-7.5x
66-4.5x=42-7.5x
Second, add 7.5x on both sides:
66+3x=42
Next, subract 66 on both sides:
3x=-24
Now, divide 3 on both sides:
-24/3=-8
x=-8
maxonik [38]3 years ago
3 0
Let's solve your equation step-by-step.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Simplify: (Show steps)<span><span><span>−4.5x</span>+72</span>=<span><span>−7.5x</span>+42</span></span>Step 2: Add 7.5x to both sides.<span><span><span><span>−4.5x</span>+72</span>+7.5x</span>=<span><span><span>−7.5x</span>+42</span>+7.5x</span></span><span><span>3x+72</span>=42</span>Step 3: Subtract 72 from both sides.<span><span><span>3x+72</span>−72</span>=42−72</span><span>3x=−30</span>Step 4: Divide both sides by 3.<span><span>3x3</span>=<span>−303</span></span><span>x=<span>−<span>10</span></span></span>
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