Salvatore Boone

2021-12-29

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

Suhadolahbb

Beginner2021-12-30Added 32 answers

Step 1

Given:$0.6x-10=1.4x-14$

Multiply by 10 on both sides,

$10(0.6x-10)=10(1.4x-14)$

By distributive property,

$10(0.6x-10)=10\times 0.6x-10\times 10$

$10(0.6x-10)=6x-100$

By distributive property,

$10(1.4x-14)=10\times 1.4x-10\times 14$

$10(1.4x-14)=14x-140$

Replace$10(0.6x-10)$ with $6x-100$

Replace$10(1.4x-14)$ with $14x-140$

$6x-100=14x-140$

Add$-6x+140$ on both sides,

$6x-100-6x+140=14x-140-6x+140$

Add the like terms,

$40+0x=8x+0$

$40=8x$

It is$8x=40$

Divide by 8 on both sides,

$\frac{8x}{8}=\frac{40}{8}$

$x=\frac{40}{8}$

Divide by 8 on both numerator and denominator,

$x=\frac{40}{8}\xf7\frac{8}{8}$

$x=5$

The value of x is 5.

Given:

Multiply by 10 on both sides,

By distributive property,

By distributive property,

Replace

Replace

Add

Add the like terms,

It is

Divide by 8 on both sides,

Divide by 8 on both numerator and denominator,

The value of x is 5.

Karen Robbins

Beginner2021-12-31Added 49 answers

Step 1

Group all x terms on the left side of the equation

$0.6x-10=1.4x-14$

Subtract 1.4x from both sides:

$0.6x-10-1.4x=1.4x-14-1.4x$

Group like terms:

$0.6x-1.4x-10=1.4x-14-1.4x$

Simplify the arithmetic:

$-0.8x-10=1.4x-1.4x-14$

Group like terms:

$-0.8x-10=1.4x-1.4x-14$

Simplify the arithmetic:

$-0.8x-10=-14$

Step 2

Group all constants on the right side of the equation

$-0.8x-10=-14$

Add 10 to both sides:

$-0.8x-10+10=-14+10$

Simplify the arithmetic:

$-0.8x=-14+10$

$-0.8x=-4$

Step 3

Isolate the x

$-0.8x=-4$

Divide both sides by -0.8:

$\frac{-0.8x}{-0.8}=\frac{-4}{-0.8}$

Cancel out the negatives:

$\frac{0.8x}{0.8}=\frac{-4}{-.0.8}$

Simplify the arithmetic:

$x=\frac{-4}{-0.8}$

Cancel out the negatives:

$x=\frac{4}{0.8}$

Simplify the arithmetic:

$x=5$

Group all x terms on the left side of the equation

Subtract 1.4x from both sides:

Group like terms:

Simplify the arithmetic:

Group like terms:

Simplify the arithmetic:

Step 2

Group all constants on the right side of the equation

Add 10 to both sides:

Simplify the arithmetic:

Step 3

Isolate the x

Divide both sides by -0.8:

Cancel out the negatives:

Simplify the arithmetic:

Cancel out the negatives:

Simplify the arithmetic:

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

-0.8x-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

Expand

Divide -40 by -8 to get 5

x=5

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