Painevg

2021-12-27

To solve:

$10x-2(x+4)=8(x-2)+6$

Mary Herrera

Beginner2021-12-28Added 37 answers

Step 1

Given:$10x-2(x+4)=8(x-2)+6$

By distributive property,

$-2(x+4)=-2\times x+(-2)\times 4$

$-2(x+4)=-2x-8$

By distributive property,

$8(x-2)=8\times x-8\times 2$

$8(x-2)=8x-16$

Replace$-2(x+4)$ with $-2x-8$

Replace$8(x-2)$ with $8x-16$

$10x-2(x+4)=10-2x-8$

$10x-2(x+4)=8x-8$

$8(x-2)+6=8x-16+6$

$8(x-2)+6=8x-10$

$8x-8=8x-10$

Add$-8x+8$ on both sides,

$8x-8-8x+8=8x-10-8x+8$

Add the like terms,

$0x+0=-2+0x$

$0x=-2$

As there is no x term, no solution exists for the equation.

Given:

By distributive property,

By distributive property,

Replace

Replace

Add

Add the like terms,

As there is no x term, no solution exists for the equation.

braodagxj

Beginner2021-12-29Added 38 answers

Step 1

$10x-2(x+4)=8(x-2)+6$

Expand$-2(x+4):{\textstyle \phantom{\rule{1em}{0ex}}}-2x-8$

$10x-2x-8=8(x-2)+6$

Add similiar elements:$10x-2x=8x$

$8x-8=8(x-2)+6$

Expand$8(x-2)+6:{\textstyle \phantom{\rule{1em}{0ex}}}8x-10$

$8x-8=8x-10$

Add 8 to both sides

$8x-8+8=8x-10+8$

Simplify

$8x=8x-2$

Subtract 8x from both sides

$8x-8x=8x-2-8x$

Simplify

$0=-2$

The sides are not equal

No solution

Expand

Add similiar elements:

Expand

Add 8 to both sides

Simplify

Subtract 8x from both sides

Simplify

The sides are not equal

No solution

karton

Expert2022-01-10Added 613 answers

Step 1
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
10* x-2*(x+4)-(8*(x-2)+6)=0
Equation at the end of step 1
(10x-(2*(x+4)))-(8*(x-2)+6)=0
Equation at the end of step 2
(10x-2*(x+4))-(8x-10)=0
Equation at the end of step 3
2=0
Equations which are never true:
Solve: 2=0
This equation has no solution
A a non-zero constant never equls zero

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