To solve the equation [tex]\(4x - 0.2 = 1.9\)[/tex] for [tex]\(x\)[/tex], the first step involves isolating the term with [tex]\(x\)[/tex].
Here’s a detailed step-by-step solution:
1. Identify the equation: The given equation is [tex]\(4x - 0.2 = 1.9\)[/tex].
2. Isolate the term with [tex]\(x\)[/tex]: To do this, we need to remove the constant term on the left-hand side of the equation. The constant term here is [tex]\(-0.2\)[/tex].
3. Add 0.2 to both sides: To eliminate [tex]\(-0.2\)[/tex] on the left side, we add [tex]\(0.2\)[/tex] to both sides of the equation.
[tex]\[
4x - 0.2 + 0.2 = 1.9 + 0.2
\][/tex]
4. Simplify both sides: The equation simplifies to:
[tex]\[
4x = 2.1
\][/tex]
Therefore, the first step when solving the given equation for [tex]\(x\)[/tex] is to add [tex]\(0.2\)[/tex] to both sides of the equation.
