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riadik2000 [5.3K]
2 years ago
8

Quick algebra 1 question for 10 points!

Mathematics
2 answers:
tigry1 [53]2 years ago
7 0

Answer:

B) x = -7

Step-by-step explanation:

<u>Given equation:</u> 10(x+10)-4=11-5(2x+11)

Step 1: Distribute 10 and -5 through the parentheses.

\implies 10(x)+10(10)-4=11-5(2x)-5(11)

\implies 10x+100-4=11-10x-55

Step 2: Simplify (combine like terms).

\implies 10x+100-4=11-10x-55

\implies 10x+96=-44-10x

Step 3: Add 10x to both sides.

\implies 10x+10x+96=-44-10x+10x

\implies 20x+96=-44

Step 4: Subtract 96 from both sides.

\implies 20x+96-96=-44-96

\implies 20x=-140

Step 5: Divide both sides by 20 to isolate x.

\implies \dfrac{20x}{20}=\dfrac{-140}{20}

\implies \boxed{x=-7}

zaharov [31]2 years ago
6 0

<u>Answer:</u>

○ x = -7

<u>Step-by-step explanation:</u>

Given the equation:

10(x + 10) - 4 = 11 - 5(2x + 11),

to solve for x, we have to rearrange the equation to make x its subject.

10(x + 10) - 4 = 11 - 5(2x + 11)

⇒ 10x + 100 - 4 = 11 - 10x -55      [expand brackets]

⇒ 10x + 96 = -44 - 10x

⇒ 10x + 10x + 96 = -44                   [add 10x to both sides]

⇒ 20x + 96 = -44

⇒ 20x = -44 - 96                             [subtract 96 from both sides]

⇒ 20x = -140

⇒ x = \frac{-140}{20}                                        [divide both sides by 20]

⇒ x = \bf-7

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