67-(6x+6)=6(X+4)+x

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Solution for 67-(6x+6)=6(X+4)+x equation: 


Simplifying
67 + -1(6x + 6) = 6(X + 4) + x

Reorder the terms:
67 + -1(6 + 6x) = 6(X + 4) + x
67 + (6 * -1 + 6x * -1) = 6(X + 4) + x
67 + (-6 + -6x) = 6(X + 4) + x

Combine like terms: 67 + -6 = 61
61 + -6x = 6(X + 4) + x

Reorder the terms:
61 + -6x = 6(4 + X) + x
61 + -6x = (4 * 6 + X * 6) + x
61 + -6x = (24 + 6X) + x

Solving
61 + -6x = 24 + 6X + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
61 + -6x + -1x = 24 + 6X + x + -1x

Combine like terms: -6x + -1x = -7x
61 + -7x = 24 + 6X + x + -1x

Combine like terms: x + -1x = 0
61 + -7x = 24 + 6X + 0
61 + -7x = 24 + 6X

Add '-61' to each side of the equation.
61 + -61 + -7x = 24 + -61 + 6X

Combine like terms: 61 + -61 = 0
0 + -7x = 24 + -61 + 6X
-7x = 24 + -61 + 6X

Combine like terms: 24 + -61 = -37
-7x = -37 + 6X

Divide each side by '-7'.
x = 5.285714286 + -0.8571428571X

Simplifying
x = 5.285714286 + -0.8571428571X

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