What value of x makes the equation 3(x-6)-8x=-2+5(2x+1) true ?

x = (-7)/5

Step-by-step explanation:

Solve for x:

3 (x - 6) - 8 x = 5 (2 x + 1) - 2

3 (x - 6) = 3 x - 18:

3 x - 18 - 8 x = 5 (2 x + 1) - 2

Grouping like terms, 3 x - 8 x - 18 = (3 x - 8 x) - 18:

(3 x - 8 x) - 18 = 5 (2 x + 1) - 2

3 x - 8 x = -5 x:

-5 x - 18 = 5 (2 x + 1) - 2

5 (2 x + 1) = 10 x + 5:

-5 x - 18 = 10 x + 5 - 2

Add like terms. 5 - 2 = 3:

-5 x - 18 = 10 x + 3

Subtract 10 x from both sides:

(-5 x - 10 x) - 18 = (10 x - 10 x) + 3

-5 x - 10 x = -15 x:

-15 x - 18 = (10 x - 10 x) + 3

10 x - 10 x = 0:

-15 x - 18 = 3

Add 18 to both sides:

(18 - 18) - 15 x = 18 + 3

18 - 18 = 0:

-15 x = 3 + 18

3 + 18 = 21:

-15 x = 21

Divide both sides of -15 x = 21 by -15:

(-15 x)/(-15) = 21/(-15)

(-15)/(-15) = 1:

x = 21/(-15)

The gcd of 21 and -15 is 3, so 21/(-15) = (3×7)/(3 (-5)) = 3/3×7/(-5) = 7/(-5):

x = 7/(-5)

Multiply numerator and denominator of 7/(-5) by -1:

x = (-7)/5

answer: i don't understand it

step-by-step explanation: sorry

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.