Question

PLEASE HELP!!! Solve for x.

Answer 1

2/3x = 6/7 - 1/2
2/3x = 12/14 - 7/14
2/3x = 5/14
x = 5/14 . 3/2
x = 15/28

Answer 2

Your answer is $x= \frac{15}{28}$

Here's the math:

$-\frac{6}{7}= -\frac{2}{3}x -\frac{1}{2}$..........................................Simplify $\frac{2}{3} x$ to $\frac{2x}{3}$

$-\frac{6}{7} +\frac{1}{2} = -\frac{2x}{3}$..........................................Add $\frac{1}{2}$ to both sides

$- \frac{5}{14} = -\frac{2x}{3}$................................................Simplify $- \frac{6}{7} + \frac{1}{2}$ to $-\frac{5}{14}$

$-\frac{5}{14} * 3 = -2x$..........................................Multiply both sides by 3

$-\frac{15}{14} = -2x$................................................Simplify $-\frac{5}{14} *3$ to $-\frac{15}{14}$

$-\frac{15}{14}/-2 = x$............................................Divide both sides by -2

$\frac{15}{14} /2=x$....................................................Two negatives = a positive

$\frac{15}{14*2} =x$.....................................................Simplify $\frac{15}{14} /2$ to $\frac{15}{14*2}$

$\frac{15}{28} =x$.........................................................Simplify $14*2$ to $28$

$x = \frac{15}{28}$........................................................Switch sides


Thank you for the question!! I hope this helped! :D Have an amazing day :))