63-(3x+3)=3(x+6)+x

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Solution for 63-(3x+3)=3(x+6)+x equation:


Simplifying
63 + -1(3x + 3) = 3(x + 6) + x

Reorder the terms:
63 + -1(3 + 3x) = 3(x + 6) + x
63 + (3 * -1 + 3x * -1) = 3(x + 6) + x
63 + (-3 + -3x) = 3(x + 6) + x

Combine like terms: 63 + -3 = 60
60 + -3x = 3(x + 6) + x

Reorder the terms:
60 + -3x = 3(6 + x) + x
60 + -3x = (6 * 3 + x * 3) + x
60 + -3x = (18 + 3x) + x

Combine like terms: 3x + x = 4x
60 + -3x = 18 + 4x

Solving
60 + -3x = 18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
60 + -3x + -4x = 18 + 4x + -4x

Combine like terms: -3x + -4x = -7x
60 + -7x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
60 + -7x = 18 + 0
60 + -7x = 18

Add '-60' to each side of the equation.
60 + -60 + -7x = 18 + -60

Combine like terms: 60 + -60 = 0
0 + -7x = 18 + -60
-7x = 18 + -60

Combine like terms: 18 + -60 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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