onethird(x+3)+onesixth(x-6)=x+3

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Solution for onethird(x+3)+onesixth(x-6)=x+3 equation: 


Simplifying
onethird(x + 3) + onesixth(x + -6) = x + 3

Reorder the terms:
dehinort(3 + x) + onesixth(x + -6) = x + 3
(3 * dehinort + x * dehinort) + onesixth(x + -6) = x + 3
(3dehinort + dehinortx) + onesixth(x + -6) = x + 3

Reorder the terms:
3dehinort + dehinortx + ehinostx(-6 + x) = x + 3
3dehinort + dehinortx + (-6 * ehinostx + x * ehinostx) = x + 3
3dehinort + dehinortx + (-6ehinostx + ehinostx2) = x + 3

Reorder the terms:
3dehinort + dehinortx + -6ehinostx + ehinostx2 = 3 + x

Solving
3dehinort + dehinortx + -6ehinostx + ehinostx2 = 3 + x

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '6ehinostx' to each side of the equation.
3dehinort + dehinortx + -6ehinostx + 6ehinostx + ehinostx2 = 3 + 6ehinostx + x

Combine like terms: -6ehinostx + 6ehinostx = 0
3dehinort + dehinortx + 0 + ehinostx2 = 3 + 6ehinostx + x
3dehinort + dehinortx + ehinostx2 = 3 + 6ehinostx + x

Add '-1ehinostx2' to each side of the equation.
3dehinort + dehinortx + ehinostx2 + -1ehinostx2 = 3 + 6ehinostx + -1ehinostx2 + x

Combine like terms: ehinostx2 + -1ehinostx2 = 0
3dehinort + dehinortx + 0 = 3 + 6ehinostx + -1ehinostx2 + x
3dehinort + dehinortx = 3 + 6ehinostx + -1ehinostx2 + x

Reorder the terms:
-3 + 3dehinort + dehinortx + -6ehinostx + ehinostx2 + -1x = 3 + 6ehinostx + -1ehinostx2 + x + -3 + -6ehinostx + ehinostx2 + -1x

Reorder the terms:
-3 + 3dehinort + dehinortx + -6ehinostx + ehinostx2 + -1x = 3 + -3 + 6ehinostx + -6ehinostx + -1ehinostx2 + ehinostx2 + x + -1x

Combine like terms: 3 + -3 = 0
-3 + 3dehinort + dehinortx + -6ehinostx + ehinostx2 + -1x = 0 + 6ehinostx + -6ehinostx + -1ehinostx2 + ehinostx2 + x + -1x
-3 + 3dehinort + dehinortx + -6ehinostx + ehinostx2 + -1x = 6ehinostx + -6ehinostx + -1ehinostx2 + ehinostx2 + x + -1x

Combine like terms: 6ehinostx + -6ehinostx = 0
-3 + 3dehinort + dehinortx + -6ehinostx + ehinostx2 + -1x = 0 + -1ehinostx2 + ehinostx2 + x + -1x
-3 + 3dehinort + dehinortx + -6ehinostx + ehinostx2 + -1x = -1ehinostx2 + ehinostx2 + x + -1x

Combine like terms: -1ehinostx2 + ehinostx2 = 0
-3 + 3dehinort + dehinortx + -6ehinostx + ehinostx2 + -1x = 0 + x + -1x
-3 + 3dehinort + dehinortx + -6ehinostx + ehinostx2 + -1x = x + -1x

Combine like terms: x + -1x = 0
-3 + 3dehinort + dehinortx + -6ehinostx + ehinostx2 + -1x = 0

The solution to this equation could not be determined.

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