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galben [10]
2 years ago
14

2(x + 3) = x - 4 solve

Mathematics
2 answers:
Anon25 [30]2 years ago
5 0

Hey there!

<u>Solve </u><u>the </u><u>equation</u><u>:</u>

  • Answer :

x = -10 ✅

  • Explanation:

2(x + 3) = x - 4

<em><u>Distributive property:</u></em> A(B + C) = AB + AC

<em>></em><em>></em><em> </em><em>Substitute </em><em>2</em><em> </em><em>for</em><em> </em><em>A</em><em> , </em><em>x</em><em> </em><em>for </em><em>B</em><em> </em><em>and </em><em>3</em><em> </em><em>for</em><em> </em><em>C</em><em> : </em>

2(x) + 2(3) = x - 4

2x + 6 = x - 4

<em>></em><em>></em><em> </em><em>Subtract </em><em>6</em><em> </em><em>from </em><em>each </em><em>side </em><em>:</em>

2x + 6 - 6 = x - 4 - 6

2x = x - 10

<em>></em><em>></em><em> </em><em>Subtract </em><em>x </em><em>from </em><em>both </em><em>sides </em><em>:</em>

2x - x = x - 10 - x

x = -10

▪️Let's check our work :

2(-10 + 3) ⇔ 2(-7) ⇔ -14

-10 - 4 ⇔-14

Therefore, your answer is x = -10

Learn more about first-degree equations :

↣brainly.com/question/19225782

↣brainly.com/question/25229258

denpristay [2]2 years ago
3 0

Answer:

x=-10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

<u>-2x   -2x</u>

6=-x-4

<u>+4    +4</u>

<u>10</u>=<u>-x</u>

-1    -1

-10=x

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