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Mrac [35]
3 years ago
13

How to solve this equation 7-2a-5-14=-2+3a

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
6 0

To solve 7-2a-5-14=-2+3a :

1) combine like terms: 7-19 - 2a = -2 + 3a, and then -10 = 5a

2) solve this equation for a: a = -10/5 = -2.

The solution of 7-2a-5-14=-2+3a is a = -2.

rosijanka [135]3 years ago
4 0

7 - 2a - 5 - 14 = -2 + 3a

Firstly, collect like terms (the constants) on the left side of the equation.

7 - 5 - 14 = -12

The equation becomes

-12 - 2a = -2 + 3a

Add 2 to both sides. The -2 on the right side cancels out and the constant -12 on the left becomes -10.

-10 - 2a = 3a

Add 2a to both sides. The -2a on the left cancels out and the 3a on the right becomes 5a.

-10 = 5a

Divide both sides by 5. The coefficient on the right cancels out and the -10 becomes -2.

-2 = a

Answer:

a = -2

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________________________
xenn [34]

✩ Answer:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*  

 \bold{Hello!}\\\bold{Your~answer~is~below!}  

✩ Step-by-step explanation:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*

✺ Divide both sides by −3. Since −3 is negative, the inequality direction is changed:

  • -3 ÷ -3 = Cancels Out
  • Turns into: \frac{-9}{-3} >5x-2

✺ Divide −9 by −3 to get 3. Since they are both negatives it turns into a positive:

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  • Turns into: 3 > 5x - 2

✺ Swap sides so that all variable terms are on the left hand side. This changes the sign direction once more:

  • Turns into: 5x-2

✺ Add 2 to both sides:

  • Turns into: 5x

✺ Add 3 and 2 to get 5:

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  • Turns into: 5x

✺ Divide both sides by 5. Since 5 is positive, the inequality direction remains the same:

  • 5 ÷ 5 = Cancels Out
  • Turns into: x

✺ Divide 5 by 5 to get 1:

  • 5 ÷ 5 = 1

✺  So your answer is B, \boxed{x.

(Number line is below.)

Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex

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