Solve the equation by clearing the decimals 0.7x+0.4=0.6x+2.4

usagirl007A

usagirl007A

Answered question

2021-08-08

Solve with Decimal Coefficients In the following exercises, solve the equation by clearing the decimals.
0.7x+0.4=0.6x+2.4

Answer & Explanation

Leonard Stokes

Leonard Stokes

Skilled2021-08-09Added 98 answers

Step 1
The given equation is 0.7x+0.4=0.6x+2.4
The equation 0.7x+0.4=0.6x+2.4 can be solved as follows.
We multiply the decimal number by 10 to shift the decimal towards right hand side by one place.
Step 2
For clearing the decimals we miltiply each term by 10.
10×0.7x+10×0.4=10×0.6x+10×2.4
7x+4=6x+24
Transfer the terms to get similar term together.
7x6x=244
 x=20
Therefore, x=20 is the solution of 0.7x+0.4=0.6+2.4.

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