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2 years ago

What value of x makes the equation 8(1.5x - 6) = 2x - 0.5(24 - 16x? true?

Mathematics

1 answer:

nydimaria [60]2 years ago

3 0

Answer:

x=18

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8(1.5x−6)=2x−0.5(24−16x)

(8)(1.5x)+(8)(−6)=2x+(−0.5)(24)+(−0.5)(−16x)(Distribute)

12x+−48=2x+−12+8x

12x−48=(2x+8x)+(−12)(Combine Like Terms)

12x−48=10x+−12

12x−48=10x−12

Step 2: Subtract 10x from both sides.

12x−48−10x=10x−12−10x

2x−48=−12

Step 3: Add 48 to both sides.

2x−48+48=−12+48

2x=36

Step 4: Divide both sides by 2.

2x/2=36/2

x=18

Answer:

x=18

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