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

User Jlyh
by
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2 Answers

3 votes

Answer:

X=-2/3

Explanation:

User Ian Johnson
by
5.6k 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
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5.6k points