Question

Let's solve your equation step-by-step.

0.5x - (0.8 - 0.2x) = 0.2 - 0.3x

Step 1: Simplify the equation.

⇒ 0.5x - (0.8 - 0.2x) = 0.2 - 0.3x

⇒ 0.5x - 0.8 + 0.2x = 0.2 - 0.3x

Step 2: Combine Like Terms

⇒ 0.5x - 0.8 + 0.2x = 0.2 - 0.3x

⇒ 0.5x + 0.2x - 0.8 = 0.2 - 0.3x

⇒ 0.7x - 0.8 = 0.2 - 0.3x

Step 3: Add 0.3x to both sides of the equation.

⇒ 0.7x - 0.8 + 0.3x = 0.2 - 0.3x + 0.3x

⇒ 0.7x + 0.3x - 0.8 = 0.2

⇒ 1x - 0.8 = 0.2

Step 4: Add 0.8 to both sides of the equation.

⇒ x - 0.8 + 0.8 = 0.2 + 0.8

⇒ x = 1

∴ x = 1 in the equation → 0.5x - (0.8 - 0.2x) = 0.2 - 0.3x


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2. Let's solve your equation step-by-step.

0.5x +\dfrac{x}{3} =0.25x+70.5x+
3
x
​
=0.25x+7

Step 1: Simplify the equation.

⇒ 0.5x +\dfrac{x}{3} =0.25x+70.5x+
3
x
​
=0.25x+7

⇒ \dfrac{5}{10} x +\dfrac{1}{3}x =0.25x+7
10
5
​
x+
3
1
​
x=0.25x+7

⇒ \dfrac{5\times 3 }{10\times 3 } x +\dfrac{1\times 10 }{3\times 10}x =0.25x+7
10×3
5×3
​
x+
3×10
1×10
​
x=0.25x+7

⇒ \dfrac{15 }{30 } x +\dfrac{10 }{30}x =0.25x+7
30
15
​
x+
30
10
​
x=0.25x+7

⇒ \dfrac{25 }{30 } x =0.25x+7
30
25
​
x=0.25x+7

Step 2: Subtract 0.25x from both sides of the equation.

⇒ \dfrac{25 }{30 } x -0.25x =0.25x+7 - 0.25x
30
25
​
x−0.25x=0.25x+7−0.25x

⇒ \dfrac{25 }{30 } x -\dfrac{25}{100} x =7
30
25
​
x−
100
25
​
x=7

⇒ \dfrac{25\times 10 }{30\times 10 } x -\dfrac{25\times 3 }{100\times 3 } x =7
30×10
25×10
​
x−
100×3
25×3
​
x=7

⇒ \dfrac{250 }{300 } x -\dfrac{75}{300 } x =7
300
250
​
x−
300
75
​
x=7

⇒ \dfrac{175}{300}x =7
300
175
​
x=7

Step 3: Multiply \frac{300}{175}
175
300
​
to both sides of the equation.

⇒ x = 7\times \dfrac{300}{175}x=7×
175
300
​


⇒ x = \dfrac{300}{25}x=
25
300
​


⇒ x = 12x=12

∴ x = 12 in the equation → \bf 0.5x +\dfrac{x}{3} =0.25x+70.5x+
3
x
​
=0.25x+7


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Answer 1

Answer:

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