Mathematics: Slove each equation below. show all work and steps.0.75x-0.5=x+1.5

Slove each equation below. show all work and steps.0.75x-0.5=x+1.5

coco4937

04.01.2022

➣ Assignment: $\bold{0.75x-0.5=x+1.5}$

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➣ $\boxed{\bold{x=-8}}$

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Explanation: ↓↓↓↓↓

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➤ [ Step One ] Multiply Both Sides By 100

$\bold{0.75x\cdot \:100-0.5\cdot \:100=x\cdot \:100+1.5\cdot \:100}$

➤ [ Step Two ] Refine

$\bold{75x-50=100x+150}$

➤ [ Step Three ] Add 50 To Both Sides

$\bold{75x-50+50=100x+150+50}$

➤ [ Step Four ] Simplify

$\bold{75x=100x+200}$

➤ [ Step Five ] Subtract 100x From Both Sides

$\bold{75x-100x=100x+200-100x}$

➤ [ Step Six ] Simplify

$\bold{-25x=200}$

➤ [ Step Seven ] Divide Both Sides By -25

$\bold{\frac{-25x}{-25}=\frac{200}{-25}}$

➤ [ Step Eight ] Simplify

$\bold{x=-8}$

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$\bold{\rightarrow Mordancy \leftarrow}$

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