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Klio2033 [76]
3 years ago
5

Solve -31-4x=-5-5(1+5x)

Mathematics
2 answers:
a_sh-v [17]3 years ago
8 0
Let's solve your equation step-by-step.<span><span><span>−31</span>−<span>4x</span></span>=<span><span>−5</span>−<span>5<span>(<span>1+<span>5x</span></span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>−31</span>−<span>4x</span></span>=<span><span>−5</span>−<span>5<span>(<span>1+<span>5x</span></span>)</span></span></span></span><span><span><span><span>−31</span>+</span>−<span>4x</span></span>=<span><span><span>−5</span>+<span><span>(<span>−5</span>)</span><span>(1)</span></span></span>+<span><span>(<span>−5</span>)</span><span>(<span>5x</span>)</span></span></span></span>(Distribute)<span><span><span><span>−31</span>+</span>−<span>4x</span></span>=<span><span><span><span><span>−5</span>+</span>−5</span>+</span>−<span>25x</span></span></span><span><span><span>−<span>4x</span></span>−31</span>=<span><span>(<span>−<span>25x</span></span>)</span>+<span>(<span><span>−5</span>+<span>−5</span></span>)</span></span></span>(Combine Like Terms)<span><span><span>−<span>4x</span></span>−31</span>=<span><span>−<span>25x</span></span>+<span>−10</span></span></span><span><span><span>−<span>4x</span></span>−31</span>=<span><span>−<span>25x</span></span>−10</span></span>Step 2: Add 25x to both sides.<span><span><span><span>−<span>4x</span></span>−31</span>+<span>25x</span></span>=<span><span><span>−<span>25x</span></span>−10</span>+<span>25x</span></span></span><span><span><span>21x</span>−31</span>=<span>−10</span></span>Step 3: Add 31 to both sides.<span><span><span><span>21x</span>−31</span>+31</span>=<span><span>−10</span>+31</span></span><span><span>21x</span>=21</span>Step 4: Divide both sides by 21.<span><span><span>21x</span>21</span>=<span>2121</span></span><span>x=1</span>
MrRa [10]3 years ago
4 0
-31 - 4x = 5 - 5 ( 1 + 5x )
-31 - 4x = 5 - 5 - 25x
-31 - 4x = -25x
+ 31 to both sides
-4x = 6
/ -4 to both sides
x = 6/-4 = 3/-2
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