Math

Question Resolver para xx, donde 154=3x-\frac{15}{4}=-3x. Simplificar la respuesta tanto como sea posible.

Studdy Solution

STEP 1

Assumptions
1. We are given the equation 154=3x-\frac{15}{4}=-3x.
2. We need to solve for xx.
3. Simplify the answer as much as possible.

STEP 2

To solve for xx, we need to isolate xx on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of xx, which is 3-3.
x=1543x = \frac{-\frac{15}{4}}{-3}

STEP 3

Before dividing, it is helpful to rewrite the division of fractions as a multiplication by the reciprocal of the divisor.
x=154×13x = -\frac{15}{4} \times \frac{1}{-3}

STEP 4

Now multiply the two fractions. Remember that multiplying two negative numbers gives a positive result.
x=154×13x = \frac{15}{4} \times \frac{1}{3}

STEP 5

Multiply the numerators and the denominators separately.
x=15×14×3x = \frac{15 \times 1}{4 \times 3}

STEP 6

Calculate the multiplication.
x=1512x = \frac{15}{12}

STEP 7

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3.
x=15÷312÷3x = \frac{15 \div 3}{12 \div 3}

STEP 8

Complete the division to simplify the fraction.
x=54x = \frac{5}{4}
The solution to the equation is x=54x = \frac{5}{4}.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord