Respuesta :
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 [tex]2x=-2x+11[/tex].
Let's perform step 1: reducing one side to variables only. By adding [tex]2x[/tex] to both sides of the equation, we get [tex]4x=11[/tex].
Now let's perform step 2: reducing that side to the variable without coefficients. Since the coefficient of [tex]4x[/tex] is [tex]4[/tex], we need to divide both sides of the equation by 4: [tex]x=\frac{11}{4}=2.75[/tex]. Rounded to the nearest tenth, [tex]x=2.8[/tex].
So the value of [tex]x[/tex] that satisfies [tex]2x=-2x+11[/tex] is [tex]x=2.8[/tex].
1. Reduce one side to variables only
2. Reduce that side to the variable without coefficients.
The given equation is [tex]2x=-2x+11[/tex].
Let's perform step 1: reducing one side to variables only. By adding [tex]2x[/tex] to both sides of the equation, we get [tex]4x=11[/tex].
Now let's perform step 2: reducing that side to the variable without coefficients. Since the coefficient of [tex]4x[/tex] is [tex]4[/tex], we need to divide both sides of the equation by 4: [tex]x=\frac{11}{4}=2.75[/tex]. Rounded to the nearest tenth, [tex]x=2.8[/tex].
So the value of [tex]x[/tex] that satisfies [tex]2x=-2x+11[/tex] is [tex]x=2.8[/tex].
