3+6(X-7)=7-6(X-9)

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Solution for 3+6(X-7)=7-6(X-9) equation: 


Simplifying
3 + 6(X + -7) = 7 + -6(X + -9)

Reorder the terms:
3 + 6(-7 + X) = 7 + -6(X + -9)
3 + (-7 * 6 + X * 6) = 7 + -6(X + -9)
3 + (-42 + 6X) = 7 + -6(X + -9)

Combine like terms: 3 + -42 = -39
-39 + 6X = 7 + -6(X + -9)

Reorder the terms:
-39 + 6X = 7 + -6(-9 + X)
-39 + 6X = 7 + (-9 * -6 + X * -6)
-39 + 6X = 7 + (54 + -6X)

Combine like terms: 7 + 54 = 61
-39 + 6X = 61 + -6X

Solving
-39 + 6X = 61 + -6X

Solving for variable 'X'.

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

Add '6X' to each side of the equation.
-39 + 6X + 6X = 61 + -6X + 6X

Combine like terms: 6X + 6X = 12X
-39 + 12X = 61 + -6X + 6X

Combine like terms: -6X + 6X = 0
-39 + 12X = 61 + 0
-39 + 12X = 61

Add '39' to each side of the equation.
-39 + 39 + 12X = 61 + 39

Combine like terms: -39 + 39 = 0
0 + 12X = 61 + 39
12X = 61 + 39

Combine like terms: 61 + 39 = 100
12X = 100

Divide each side by '12'.
X = 8.333333333

Simplifying
X = 8.333333333

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