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x = 3.5

y = 8x + 12

Step-by-step explanation:

1) Given the equation

12x = 4(x+2)+20

Expand

12x = 4x+8+20

12x - 4x = 28

8x = 18

x = 28/8

x = 3.5

Hence the value of x is 3.5

2) The standard form of equation in slope intercept form is y = mx+c

m is the slope

c is the y intercept

Get the y-intercept

Substitute m = 8 and (0, 12) into y = mx+c

12 = 8(0)+c

12 = c

c = 12

Get the required equation

Recall that y = mx+c

y = 8x + 12

This gives the required equation