Question

Solve the equation.5x - (x + 3) = 3(2 – 2x) + XX =- [?]EnterNo false answers please

Answer 1

We assume that the equation is:

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

To solve this equation, we need to solve, first, the corresponding operations:

1. We need to apply the distributive property to both sides of the equation (on the left side the number is -1):

`5x-x-3=3\cdot2-3\cdot2x+x`

2. Sum (algebraically) the like terms:

`4x-3=6-6x+x\Rightarrow4x-3=6-5x`

3. We need to add 5x to both sides of the equation (this is the addition property of equality):

`4x+5x-3=6-5x+5x\Rightarrow9x-3=6`

4. Add 3 to both sides of the equation (we apply the same property):

`9x-3+3=6+3\Rightarrow9x=9`

5. Finally, divide both sides by 9 (this is the division property of equality):

`(9x)/(9)=(9)/(9)\Rightarrow x=1`

We can check this result by substituting the value of x = 1 in the original equation:

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

For x = 1, we have:

`5(1)-(1+3)=3(2-2(1))+1_{}`
`5-4=3(2-2)+1\Rightarrow1=3(0)+1\Rightarrow1=1`

The last result is true. Then, we have checked that the answer is correct.

In summary, the solution for the equation is x = 1.