1/2x+6=1/3x
Please help. my college grad mom can't help with my 8th grade math!
Are you solving for x?
Is the equation (1/2)x + 6 = (1/3)x.
Multiply both sides by 6.
(1/2)*6x + 6 = (1/3)*6x
3x + 36 = 2x
3x-2x=-36
x=-36
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Always check it by substituting the answer into the original equation.
(1/2)x + 6 = (1/3)x
(1/2)*-36 + 6 = (1/3)*-36
-18+6=-12
-12=-12
check my thinking.Check my work.
thanks drbob
Sure, I can help you with that math problem!
To solve the equation 1/2x + 6 = 1/3x, you need to isolate the variable x.
First, let's clear the fractions by multiplying every term in the equation by the least common multiple (LCM) of 2 and 3, which is 6.
Multiply 1/2x by 6:
6 * (1/2x) = 6 * (1/2) * x = 3x
Multiply 6 by 6:
6 * 6 = 36
Multiply 1/3x by 6:
6 * (1/3x) = 6 * (1/3) * x = 2x
Now, we have the equation: 3x + 36 = 2x.
To isolate x, we need to get rid of the term with x on one side of the equation. We can do this by subtracting 2x from both sides of the equation:
3x - 2x + 36 = 2x - 2x
x + 36 = 0
Now, we need to isolate x further. Since we want to solve for x, we need to get rid of the constant term (+36) on the same side as x. We can do this by subtracting 36 from both sides of the equation:
x + 36 - 36 = 0 - 36
x = -36
So the solution to the equation 1/2x + 6 = 1/3x is x = -36.