To solve: 0.6x-10=1.4x-14

Salvatore Boone

Salvatore Boone

Answered question

2021-12-29

To solve: 0.6x10=1.4x14

Answer & Explanation

Suhadolahbb

Suhadolahbb

Beginner2021-12-30Added 32 answers

Step 1
Given: 0.6x10=1.4x14
Multiply by 10 on both sides,
10(0.6x10)=10(1.4x14)
By distributive property,
10(0.6x10)=10×0.6x10×10
10(0.6x10)=6x100
By distributive property,
10(1.4x14)=10×1.4x10×14
10(1.4x14)=14x140
Replace 10(0.6x10) with 6x100
Replace 10(1.4x14) with 14x140
6x100=14x140
Add 6x+140 on both sides,
6x1006x+140=14x1406x+140
Add the like terms,
40+0x=8x+0
40=8x
It is 8x=40
Divide by 8 on both sides,
8x8=408
x=408
Divide by 8 on both numerator and denominator,
x=408÷88
x=5
The value of x is 5.
Karen Robbins

Karen Robbins

Beginner2021-12-31Added 49 answers

Step 1
Group all x terms on the left side of the equation
0.6x10=1.4x14
Subtract 1.4x from both sides:
0.6x101.4x=1.4x141.4x
Group like terms:
0.6x1.4x10=1.4x141.4x
Simplify the arithmetic:
0.8x10=1.4x1.4x14
Group like terms:
0.8x10=1.4x1.4x14
Simplify the arithmetic:
0.8x10=14
Step 2
Group all constants on the right side of the equation
0.8x10=14
Add 10 to both sides:
0.8x10+10=14+10
Simplify the arithmetic:
0.8x=14+10
0.8x=4
Step 3
Isolate the x
0.8x=4
Divide both sides by -0.8:
0.8x0.8=40.8
Cancel out the negatives:
0.8x0.8=4.0.8
Simplify the arithmetic:
x=40.8
Cancel out the negatives:
x=40.8
Simplify the arithmetic:
x=5
karton

karton

Expert2022-01-10Added 613 answers

Step 1
0.6x-10=1.4x-14
Subtract 1.4x from both sides.
0.6x-10-1.4x=-14
Combine 0.6x and 1.4xto get 0.8x
-0.8x-10=-14
Add 10 to both sides.
-0.8x=-14+10
Add -14 and 10 to get -4.
-0.8x=-4
Divide both sides by -0.8
x=40.8
Expand 40.8 by multiplying both numeator and the denominator by 10
x=408
Divide -40 by -8 to get 5
x=5

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