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Korolek [52]
4 years ago
5

6x-2(-3x-5)=154 What the answer

Mathematics
1 answer:
Fofino [41]4 years ago
7 0

Answer:

x = 12

Step-by-step explanation:

Simplifying

6x + -2(-3x + -5) = 154

Reorder the terms:

6x + -2(-5 + -3x) = 154

6x + (-5 * -2 + -3x * -2) = 154

6x + (10 + 6x) = 154

Reorder the terms:

10 + 6x + 6x = 154

Combine like terms: 6x + 6x = 12x

10 + 12x = 154

Solving

10 + 12x = 154

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.

10 + -10 + 12x = 154 + -10

Combine like terms: 10 + -10 = 0

0 + 12x = 154 + -10

12x = 154 + -10

Combine like terms: 154 + -10 = 144

12x = 144

Divide each side by '12'.

x = 12

Simplifying

x = 12

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Answer:

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Step-by-step explanation:

We can play around with some numbers and develop some rules for this equation.

Note that the number 5 and -5 are used here, so let's try using 5 as a.

|5-5| = 5-5\\|0| = 0\\0 = 0

So 5 works. Let's try a random number like 3.

|3-5| = 5-3\\|-2| = 2\\2 = 2

Okay, with this info we know that we might be able to develop one rule that a. Just to test, let's try 0, -3, and -5.

|0-5| = 5-0\\|-5| = 5\\5 = 5

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-5 works. Now, this might stop here making the equation -5 \geq  a \leq  5, so let's test a number outside of -5 - say -20.

|-20 - 5| = 5-(-20)\\|-25| = 25\\25 = 25

Yes! This works, so a works for this equation as long as a \leq 5.

Hope this helped!

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