3(x-6)=X(7-x)

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Solution for 3(x-6)=X(7-x) equation:


Simplifying
3(x + -6) = X(7 + -1x)

Reorder the terms:
3(-6 + x) = X(7 + -1x)
(-6 * 3 + x * 3) = X(7 + -1x)
(-18 + 3x) = X(7 + -1x)
-18 + 3x = (7 * X + -1x * X)
-18 + 3x = (7X + -1xX)

Solving
-18 + 3x = 7X + -1xX

Solving for variable 'x'.

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

Add 'xX' to each side of the equation.
-18 + 3x + xX = 7X + -1xX + xX

Combine like terms: -1xX + xX = 0
-18 + 3x + xX = 7X + 0
-18 + 3x + xX = 7X

Add '18' to each side of the equation.
-18 + 3x + 18 + xX = 18 + 7X

Reorder the terms:
-18 + 18 + 3x + xX = 18 + 7X

Combine like terms: -18 + 18 = 0
0 + 3x + xX = 18 + 7X
3x + xX = 18 + 7X

Reorder the terms:
-18 + -7X + 3x + xX = 18 + 7X + -18 + -7X

Reorder the terms:
-18 + -7X + 3x + xX = 18 + -18 + 7X + -7X

Combine like terms: 18 + -18 = 0
-18 + -7X + 3x + xX = 0 + 7X + -7X
-18 + -7X + 3x + xX = 7X + -7X

Combine like terms: 7X + -7X = 0
-18 + -7X + 3x + xX = 0

The solution to this equation could not be determined.

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