Question

What value of x makes the equation true?

4 - (2a +3) = -3 (a - 1) + 31
Just write the numerical value​

Answer 1

a=33

Explanation:

simplify each term until you get to the bottom! hope this helped !

Answer 2

`\boxed{\boxed{\sf{a=33}}}`

Solution Steps:

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1.) Rewrite:

• 
  `4-(2a+3)=-3(a-1)+31` turns into
  `4-2a-3=-3(a-1)+31`

- The
`(2a+3)` turns into
`2a-3` because you have to find the opposite or the terms. So this just means, if something is positive: it turns negative, and if something it negative: it turns positive.

Equation at the end of Step 1:

• 
  `4-2a-3=-3(a-1)+31`

2.) Subtract 3 on both sides, (Right Side):

• 
  `-3-3=` Cancels Out

• 
  `4-3=1`

- We do this to get rid of/cancel out the 3. Since when we get to the equation we need 1 number and variable so to do this, you just do the opposite of what you see. In this case the 3 is positive, so you subtract 3 on each side. However you only subtract the 3 on the right side.

Equation at the end of Step 2:

• 
  `1-2a=-3(a-1)+31`

3.) Use the distributive property to multiply −3 by a−1:

• 
  `-3` ×
  `a=-3a`

• 
  `-3` ×
  `-1=3`

- We do this because we need to make the Left side smaller, and since there are parenthesis you must do them first. So with parenthesis you just multiply the numbers/variables by the outside number/variable.

Equation at the end of Step 3:

• 
  `1-2a=-3a+3+31`

4.) Add 3 and 31:

• 
  `3+31=34`

- We do this since both numbers don't have any variables attached to them, you can just combine them by adding.

Equation at the end of Step 4:

• 
  `1-2a=-3a+34`

5.) Add 3a to both sides:

• 
  `-3a+3a=` Cancels Out

• 
  `-2a+3a=a`

- We do this because you only need 1 variable at the end of the equation, so to get the 1, you just combine them.

Equation at the end of Step 5:

• 
  `1+a=34`

6.) Subtract 1 from both sides:

• 
  `1-1=` Cancels Out

• 
  `34-1=33`

- We do this to get 1 number and variable left. To do so you do the opposite of what you see: In this case we have a positive 1, so you subtract 1 on each side.

So your answer is
`\bold{a=33}`.

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