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