What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?
2 answers:
Hello! Step 1: Simplify both sides of the equation.<span><span><span> 1.5<span>(<span>x+4</span>)</span></span>−3</span>=<span>4.5<span>(<span>x−2</span>)</span></span></span><span><span><span><span><span><span> (1.5)</span><span>(x)</span></span>+<span><span>(1.5)</span><span>(4)</span></span></span>+</span>−3</span>=<span><span><span>(4.5)</span><span>(x)</span></span>+<span><span>(4.5)</span><span>(<span>−2</span>)</span></span></span></span>(Distribute)<span><span><span><span><span> 1.5x</span>+6</span>+</span>−3</span>=<span><span><span>4.5x</span>+</span>−9</span></span><span><span><span> (<span>1.5x</span>)</span>+<span>(<span>6+<span>−3</span></span>)</span></span>=<span><span>4.5x</span>−9</span></span>(Combine Like Terms)<span><span><span> 1.5x</span>+3</span>=<span><span>4.5x</span>−9</span></span><span><span><span> </span></span></span>Step 2: Subtract 4.5x from both sides.<span><span><span><span> 1.5x</span>+3</span>−<span>4.5x</span></span>=<span><span><span>4.5x</span>−9</span>−<span>4.5x</span></span></span><span><span><span> −<span>3x</span></span>+3</span>=<span>−9</span></span> Step 3: Subtract 3 from both sides.<span><span><span><span> −<span>3x</span></span>+3</span>−3</span>=<span><span>−9</span>−3</span></span><span><span> −<span>3x</span></span>=<span>−12</span></span> Step 4: Divide both sides by -3.<span><span><span> −<span>3x</span></span><span>−3</span></span>=<span><span>−12</span><span>−3</span></span></span><span> x=<span>4 Hope this helps! Cheerio, and have a lovely day!</span></span>
Hello! 1.5(x + 4) - 3 = 4.5(x - 2) Distribute the 1.5 1.5x + 6 - 3 = 4.5(x - 2) Distribute the 4.5 1.5x + 6 - 3 = 4.5x - 9 Combine like terms 1.5x + 3 = 4.5x - 9 Subtract 1.5x from both sides 3 = 3x - 9 Add 9 to both sides 12 = 3x Divide both sides by 3 4 = x The answer is 4 Hope this helps!
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