Question

(1) 5(x-2) +(x-3) = 2(2x + 1)- answer this with full explanation​

Answer 1

Step-by-step explanation:

5(x-2)+(x-3)=2(2x+1)

We move all terms to the left:

5(x-2)+(x-3)-(2(2x+1))=0

We multiply parentheses

5x+(x-3)-(2(2x+1))-10=0

We get rid of parentheses

5x+x-(2(2x+1))-3-10=0

We calculate terms in parentheses: -(2(2x+1)), so:

2(2x+1)

We multiply parentheses

4x+2

Back to the equation:

-(4x+2)

We add all the numbers together, and all the variables

6x-(4x+2)-13=0

We get rid of parentheses

6x-4x-2-13=0

We add all the numbers together, and all the variables

2x-15=0

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

2x=15

x=15/2

x=7+1/2