To solve: 0.3x+24=0.1x+4

Pamela Meyer

Pamela Meyer

Answered question

2021-12-27

To solve: 0.3x+24=0.1x+4

Answer & Explanation

Papilys3q

Papilys3q

Beginner2021-12-28Added 34 answers

Step-by-step solution 
On the left side of the equation, group all of the x terms.
0.3x+24=0.1x+4 
Take 0.1x away from both sides:
0.3x+240.1x=0.1x+40.1x 
Complementary terms:
0.3x0.1x+24=0.1x+40.1x 
Simplify the arithmetric: 
0.2x+24=0.1x+40.1x 
Group like terms: 
0.2x+24=0.1x0.1+4 
Simplify the arithmetic: 
0.2x+24=4 
Group all constants on the right side of the equation 
0.2x+24=4 
Subtract 24 from both sides: 
0.2x+2424=424 
Simplify the arithmetic: 
0.2x=424 
Simplify the arithmetic: 
0.2x=20 
Isolate the x 
0.2x=20 
Divide both sides by 0.2: 
0.2x0.2=200.2 
Simplify the arithmetic: 
x=200.2 
Simplify the arithmetic: 
x=100

redhotdevil13l3

redhotdevil13l3

Beginner2021-12-29Added 30 answers

Step 1
Given: 0.3x+24=0.1x+4
Multiply by 10 on both sides,
10(0.3x+24)=10(0.1x+4)
By distributive property,
10(0.3x+24)=10×0.3x+24×10
10(0.3x+24)=3x+240
By distributive property.
10(0.1x+4)=10×0.1x+10×4
10(0.1x+4)=x+40
Replace 10(0.3x+24) with 3x+240
Replace 10(0.1x+4) with x+40
3x+240=x+40
Add x240 on both sides,
3x+240x240=x+40x240
Add the like terms,
2x+0=200+0x
2x=200
Divide by 2 on both sides,
2x2=2002
x=2002
Divide by 2 on both numerator and denominator,
x=2002÷22
x=100
The value of x is -100
karton

karton

Expert2022-01-10Added 613 answers

Given: 0.3x+24=0.1x+4 Subtract 0.1x from both sides 0.3x+24-0.1x=4 Combine 0.3x and -0.1x to get 0.2x 0.2x+24=4 Subtract 24 from both sides 0.2x=4-24 Subtract 24 from 4 to get -20 0.2x=-20 Divide both sides by 0.2 x=-20/0.2 Expand -20/0.2 by multiplying both numerator and the denominator by 10 -200/2 Divide -200 by 2 to get -100 x=100

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