To solve the expression [tex]\(x - 0.6x\)[/tex], let's go through it step-by-step:
1. Understand the Expression:
The given expression is [tex]\(x - 0.6x\)[/tex]. This involves a variable [tex]\(x\)[/tex] and a coefficient [tex]\(0.6\)[/tex] which is a multiplier for [tex]\(x\)[/tex].
2. Factor Out the Common Term:
Both terms in the expression share the common variable [tex]\(x\)[/tex]. You can factor [tex]\(x\)[/tex] out of the expression:
[tex]\[
x - 0.6x = x(1 - 0.6)
\][/tex]
3. Simplify the Expression Inside the Parentheses:
Next, simplify the part inside the parentheses:
[tex]\[
1 - 0.6 = 0.4
\][/tex]
4. Combine the Terms:
Now, multiply [tex]\(x\)[/tex] by the simplified coefficient:
[tex]\[
x(0.4) = 0.4x
\][/tex]
5. Conclusion:
Therefore, the simplified form of the expression [tex]\(x - 0.6x\)[/tex] is:
[tex]\[
0.4x
\][/tex]
Thus, if you substitute any value for [tex]\(x\)[/tex], the expression [tex]\(x - 0.6x\)[/tex] will yield [tex]\(0.4\)[/tex] times that value of [tex]\(x\)[/tex].
