How many solutions doss the equation 4x+2(x-5)=3(2x-4)

x=5+1/2

Step-by-step explanation:

4x-2(x-5)=3(2x-4)

We move all terms to the left:

4x-2(x-5)-(3(2x-4))=0

We multiply parentheses

4x-2x-(3(2x-4))+10=0

We calculate terms in parentheses: -(3(2x-4)), so:

3(2x-4)

We multiply parentheses

6x-12

Back to the equation:

-(6x-12)

We add all the numbers together, and all the variables

2x-(6x-12)+10=0

We get rid of parentheses

2x-6x+12+10=0

We add all the numbers together, and all the variables

-4x+22=0

We move all terms containing x to the left, all other terms to the right

-4x=-22

x=-22/-4

x=5+1/2

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.