Q:

Which expression is equivalent to 2/3 (9x - 6) + 4 (1/2x - 1/2)

Accepted Solution

A:
[tex]\frac{2}{3}(9x-6)+4(\frac{1}{2}x-\frac{1}{2})[/tex] is equivalent to [tex]8x-6[/tex]Step-by-step explanation:We need to find Which expression is equivalent to [tex]\frac{2}{3}(9x-6)+4(\frac{1}{2}x-\frac{1}{2})[/tex]Solving:Multiply 2/3 with terms inside the bracket and 4 with terms inside the bracket.[tex]\frac{2}{3}(9x-6)+4(\frac{1}{2}x-\frac{1}{2})[/tex][tex]=\frac{2}{3}(9x)-\frac{2}{3}(6)+4(\frac{1}{2}x)-4(\frac{1}{2})[/tex]Simplifying:[tex]=2(3x)-2(2)+2(x)-2(1)\\=6x-4+2x-2\\Combining\,\,like\,\,terms:\\=8x-6[/tex]So, [tex]\frac{2}{3}(9x-6)+4(\frac{1}{2}x-\frac{1}{2})[/tex] is equivalent to [tex]8x-6[/tex]Keywords: Solving Fractions  Learn more about Solving Fractions at: brainly.com/question/2456302 brainly.com/question/1648978 brainly.com/question/13168205 #learnwithBrainly