Takeshi claims that the solution to the equation 5x - 3(2x - 4) = 7x + 16 is x = -0.5. He shows the steps below to justify his solution.

Given: 5x - 3(2x - 4) = 7x + 16
Step 1: 5x - 6x + 12 = 7x + 16
Step 2: -x + 12 = 7x + 16
Step 3: -8x + 12 = 16
Step 4: -8x = 4
Step 5: x = -0.5

Select the two correct justification for the given steps.
Step 1: Associative Property
Step 2: combining like terms
Step 3: combining like terms
Step 4: Reflexive Property of Equality
Step 5: Division Property of Equality

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4