What is the first step in solving this equation?
3(2x + 6) – 4x = 2(5x – 2) + 6
a. use the subtraction property of equality to subtract 6 from both sides.
b. use the addition property of equality to add 4x to both sides.
c. combine the like terms on each side of the equation.
d. use the distributive property on each side of the equation.

The first step is to distribute on each side of the equation

Step-by-step explanation:

The first step is to distribute on each side of the equation

3(2x + 6) – 4x = 2(5x – 2) + 6  

6x +18 -4x = 10x -4 +6

Then we would combine like terms

2x +18 = 10x +2

Use the subtraction property of equality to subtract 2x from both sides

2x -2x +18 = 10x -2x +2

18 = 8x +2

Use the subtraction property of equality to subtract 2 from both sides.

18-2 = 8x+2-2

16 = 8x

Then use the division property of equality to divide each side by 8

16/8 =8x/8

2=x

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.