143k views
4 votes
Solve the equation. 2/3 - 4x 7/2= -9x+ 5/6 step by step

User Jlyh
by
7.4k points

2 Answers

3 votes

Answer:

X=-2/3

Explanation:

User Ian Johnson
by
8.0k points
4 votes

Answer:
\bold{x=(11)/(21)}

Explanation:


(2)/(3)-(4x+7)/(2)=-9x+(5)/(6)\\\\(6)(2)/(3)-(6)(4x+7)/(2)=-9x(6)+(6)(5)/(6)\qquad \text{(multiplied by LCD) }\\\\4 - 12x-21=-54x+5\qquad \text{(simplified)}\\\\-12x - 17 = -54x + 5\qquad \text{(added like terms)}\\\\42x-17=5\qquad \text{(added 54x to both sides)}\\\\42x = 22\qquad \text{(added 17 to both sides)}\\\\x=(22)/(42)\qquad \text{(divided both sides by 42)}\\\\x=(11)/(21)\qquad \text{(reduced the fraction)}


NOTE: The sign between 4x and 7 is missing in the question you posted. I assumed it was 4x + 7 in order to solve the equation.

User Hvanbrug
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.