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: $x=\frac{11}{4}=2.75$. Rounded to the nearest tenth, $x=2.8$.

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