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Solve for [tex]\( x \)[/tex]:

[tex]\[ 3x = 6x - 2 \][/tex]

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Simplify the following expression:

[tex]\[ -\frac{3}{4}x + 5x \][/tex]

Enter the numerator:

[tex]\[ 4x \][/tex]

Sagot :

GinnyAnswer
Sure, let's go step-by-step to solve the given expression and find the numerator.

We start with the expression:
[tex]\[ 5x - \frac{3}{4}x \][/tex]

First, we need to combine like terms. The terms [tex]\(5x\)[/tex] and [tex]\(\frac{3}{4}x\)[/tex] are like terms because they both have the variable [tex]\(x\)[/tex]. To combine these, we need a common denominator for their coefficients.

1. We convert the whole number coefficient of [tex]\(5x\)[/tex] to a fraction with the same denominator as [tex]\(\frac{3}{4}x\)[/tex]. The common denominator is 4.

[tex]\[ 5x = \frac{20}{4}x \][/tex]

2. Now, we can subtract [tex]\(\frac{3}{4}x\)[/tex] from [tex]\(\frac{20}{4}x\)[/tex]:

[tex]\[ \frac{20}{4}x - \frac{3}{4}x \][/tex]

3. Subtract the numerators and keep the common denominator:

[tex]\[ \frac{20 - 3}{4}x = \frac{17}{4}x \][/tex]

4. The resulting fraction is [tex]\(\frac{17}{4}\)[/tex].

The numerator of this combined term is [tex]\(17\)[/tex].
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