To solve: 10x-2(x+4)=8(x-2)+6

Painevg

Painevg

Answered question

2021-12-27

To solve:
10x2(x+4)=8(x2)+6

Answer & Explanation

Mary Herrera

Mary Herrera

Beginner2021-12-28Added 37 answers

Step 1
Given: 10x2(x+4)=8(x2)+6
By distributive property,
2(x+4)=2×x+(2)×4
2(x+4)=2x8
By distributive property,
8(x2)=8×x8×2
8(x2)=8x16
Replace 2(x+4) with 2x8
Replace 8(x2) with 8x16
10x2(x+4)=102x8
10x2(x+4)=8x8
8(x2)+6=8x16+6
8(x2)+6=8x10
8x8=8x10
Add 8x+8 on both sides,
8x88x+8=8x108x+8
Add the like terms,
0x+0=2+0x
0x=2
As there is no x term, no solution exists for the equation.
braodagxj

braodagxj

Beginner2021-12-29Added 38 answers

Step 1
10x2(x+4)=8(x2)+6
Expand 2(x+4):2x8
10x2x8=8(x2)+6
Add similiar elements: 10x2x=8x
8x8=8(x2)+6
Expand 8(x2)+6:8x10
8x8=8x10
Add 8 to both sides
8x8+8=8x10+8
Simplify
8x=8x2
Subtract 8x from both sides
8x8x=8x28x
Simplify
0=2
The sides are not equal
No solution
karton

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

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?