Question

What is the solutions to -2.5(4x-4) = -6

Answer 1

we want to solve the following equation

`\text{ -2.5}\cdot(4x-4)=\text{ -6}`

the idea to solve the equation is to apply mathematical operations to the equation, so we can isolate the x on one side of the equation.

We will start by factoring a 4 inside the parenthesis. So we get

`\text{ -2.5}\cdot4\cdot(x\text{ -1)= -6}`

which is equivalent to the equation

`\text{ -10}\cdot(x\text{ -1)= -6}`

now, we divide both sides by -10. So we get

`(x\text{ -}1)=\text{ }\frac{\text{ -6}}{\text{ -10}}=(6)/(10)=(3)/(5)`

now we will add 1 on both sides, so we get

`x=1+(3)/(5)=(5)/(5)+(3)/(5)=(8)/(5)`

so the value of x is 8/5 or x=1.6