First thing, to determine x, we'll have to calculate the
least common denominator of the 3 ratios.
LCD =
2*3
LCD = 6
Now, we'll
multiply the first ratio by 2 and the second ratio by 3. The 3rd ratio has the
denominator 6, so it won't be multiplied.
2(2x+3)/6 +
3(x-1)/6 = (-x + 3)/6
We ca re-write the expression without
denominator:
2(2x+3) + 3(x-1) = (-x +
3)
We'll remove the
brackets:
4x + 6 + 3x - 3 = -x +
3
We'll move the terms from the right side to the left
side:
4x + 6 + 3x - 3 + x - 3 =
0
We'll combine and eliminate like
terms:
8x = 0
We'll divide by
8:
x = 0
The
solution of the equation is x = 0.
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