What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?

4

Step-by-step explanation:

First distributive 1.5 to x+4 and 4.5 to x-2. You get 1.5x+6-3 = 4.5x-9. Next you need to move all the variable terms to one side. You can do either, it doesn't matter, but I subtracted 1.5 x to each side of the equation. You get left with 6-3 = 3x-9. Solve 6-3 and you get 3=3x-9. You 9 to both sides of the equation. You get 12=3x. You divide by 3 on both sides and get 4=x/x=4.

Step-by-step explanation:

Isolate x on one side of the equation.

1.5(x+4)-3=4.5(x-2)

1.5(x+4)*10-3*10=4.5(x-2)*10 (First, multiply 10 from both sides.)

15(x+4)-30=45(x-2) (Refine.)

15(x+4) (Expand by using distributive property.)

DISTRIBUTIVE PROPERTY:

A(B+C)=AB+AC

A(B-C)=AB-AC

15*x=15x

15*4=30

15x+30

45(x-2)

45*x=45

45*2=90

45x-90

15x+30=45x-90

15x+30-30=45x-90-30 (Subtract by 30 from both sides.)

90-30 (Solve.)

90+30=120

15x=45x-120

15x-45x=45x-120-45x (Subtract 45x from both sides.)

15x-45x (Solve.)

15x-45x=-30x

-30x=-120

-30x/-30=-120/-30 (Then, divide by -30 from both sides.)

-120/-30 (Solve.)

-120/-30=4

x=4

Therefore, the correct answer is x=4.