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What is the first step when solving the equation below for [tex]\( x \)[/tex]?

[tex]\[ 4x - 0.2 = 1.9 \][/tex]

A. Add 1.9 to both sides of the equation.
B. Divide each side of the equation by 4.
C. Add 0.2 to both sides of the equation.
D. Subtract 0.2 from both sides of the equation.

Sagot :

GinnyAnsweridn
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.
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