Question

To the nearest tenth the value of x that satisfies 2x = −2x + 11 is

Answer 1

To solve for variable equations or inequalities, we want to do two things:
1. Reduce one side to variables only
2. Reduce that side to the variable without coefficients.

The given equation is
`2x=-2x+11`.

Let's perform step 1: reducing one side to variables only. By adding
`2x` to both sides of the equation, we get
`4x=11`.

Now let's perform step 2: reducing that side to the variable without coefficients. Since the coefficient of
`4x` is
`4`, we need to divide both sides of the equation by 4:
`x=(11)/(4)=2.75`. Rounded to the nearest tenth,
`x=2.8`.

So the value of
`x` that satisfies
`2x=-2x+11` is
`x=2.8`.