In order to find this answer we have to manipulate the equation algebraically so that we end up with a statement that x = something. We can manipulate the problem however we need to as long as we do the same thing to both sides of the equation (this keeps the equation true).
-8x/5 + 1/6 = -5x/3
first lets get the x's on one side of the equals sign by adding 8x/5 to each side.
1/6 = -5x/3 + 8x/5
Ok, now let's add the x's together (we need common denominators)
1/6 = -25x/15 + 24x/15
1/6 = -x/15
Now lets get x by itself by multiplying each side by 15
1/6 * 15 = -x
15/6 = -x
3/2 = -x
Multiply each side by -1 to make the x positive.
-3/2 = x
6 * 4x = 24x
6 * 5 = 30
3 * x = 3x
3 * 8 = 24
24x + 30 = 3x + 24 + 3
24x + 30 = 3x + 27
subtract 3x from both sides
21x + 30 = 27
subtract 30 from both sides
21x = -3
divide both sides by 21
x = -1/7
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7 +b = b +7 is <span>Commutative Property</span>
