2 answers:
Step 1: Simplify both sides of the equation.<span><span> 10<span>(<span>2+x</span>)</span></span>=<span><span>15<span>(<span>x−1</span>)</span></span>+5 </span></span><span><span><span><span> (10)</span><span>(2)</span></span>+<span><span>(10)</span><span>(x)</span></span></span>=<span><span><span><span>(15)</span><span>(x)</span></span>+<span><span>(15)</span><span>(<span>−1</span>)</span></span></span>+5</span></span>(Distribute)<span><span> 20+<span>10x</span></span>=<span><span><span><span>15x</span>+</span>−15</span>+5</span></span><span><span><span> 10x</span>+20</span>=<span><span>(<span>15x</span>)</span>+<span>(<span><span>−15</span>+5</span>)</span></span></span>(Combine Like Terms)<span><span><span> 10x</span>+20</span>=<span><span>15x</span>+<span>−10</span></span></span>
<span><span><span> 10x</span>+20</span>=<span><span>15x</span>−10</span></span> Step 2: Subtract 15x from both sides.<span><span><span><span> 10x</span>+20</span>−<span>15x</span></span>=<span><span><span>15x</span>−10</span>−<span>15x</span></span></span><span><span><span> −<span>5x</span></span>+20</span>=<span>−10</span></span> Step 3: Subtract 20 from both sides.<span><span><span><span> −<span>5x</span></span>+20</span>−20</span>=<span><span>−10</span>−20</span></span> <span><span> −<span>5x</span></span>=<span>−30</span></span><span> Step 4: Divide both sides by -5.</span> -5x/-5=-30/-5The answer is x=6 Hope this helped :)
Simplifying 10(2 + x) = 15(x + -1) + 5 (2 * 10 + x * 10) = 15(x + -1) + 5 (20 + 10x) = 15(x + -1) + 5 Reorder the terms: 20 + 10x = 15(-1 + x) + 5 20 + 10x = (-1 * 15 + x * 15) + 5 20 + 10x = (-15 + 15x) + 5 Reorder the terms: 20 + 10x = -15 + 5 + 15x Combine like terms: -15 + 5 = -10 20 + 10x = -10 + 15x Solving 20 + 10x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 20 + 10x + -15x = -10 + 15x + -15x Combine like terms: 10x + -15x = -5x 20 + -5x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 20 + -5x = -10 + 0 20 + -5x = -10 Add '-20' to each side of the equation. 20 + -20 + -5x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = -10 + -20 -5x = -10 + -20 Combine like terms: -10 + -20 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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