5x - 2(2x - 1) = 2(3x - 4)

X = 2

Step-by-step explanation:

5x-4x+2 = 6x-8

10 = 5x

2 = x

Steps:

1. First multiply the -2 on the left side to open the bracket, then multiply the 2 on the right side to open up the bracket

2. Bring all the x's to the right side(as 6x>5x-4x) and the number to the right side(to convert the -8 to +8 and add it with the +2)

3. then add up the sums on each side.

Left side: [+2 +8 = +10]

Right side: [6x +4x -5x = 5x]

4. then divide the whole equation by 5

Left side: [+10/5 = 2]

Right side: [5x/5 = 1x (or) x]

5. To be left with 2 = x (or) x = 2

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