3. What is the solution to the equation 5x + 7 + 2 x = 7(2x + 3) - 63?

x= 7

Step-by-step explanation:

5x+7+2x= 7(2x+3)-63

Distribute into the parenthesis.

5x+7+2x= 14x+21-63

Add common multiples and constants.

(5x+2x)+7= 14x+ (21-63)

7x+7= 14x-42

Move the variable to one side, to do that, subtract 7x to both sides.

7x+7= 14x-42

-7x       -7x

7= 7x-42

Add 42 to both sides.

   7= 7x-42

+42      +42

49= 7x

Now, divide both sides by 7 to isolate the variable.

49= 7x

7      7

x= 7

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

answer: 1475

step-by-step explanation:

becuase you have to know what they are asking you