Question

What value of x makes the equation true?
4 - (2a +3) = -3 (a - 1) + 31
Just write the numerical value​

Answer 1

Answer:

a=33

Step-by-step explanation:

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

Answer 2

Answer:

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

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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