6x+3(12-3x)=66+x

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Solution for 6x+3(12-3x)=66+x equation:


Simplifying
6x + 3(12 + -3x) = 66 + x
6x + (12 * 3 + -3x * 3) = 66 + x
6x + (36 + -9x) = 66 + x

Reorder the terms:
36 + 6x + -9x = 66 + x

Combine like terms: 6x + -9x = -3x
36 + -3x = 66 + x

Solving
36 + -3x = 66 + 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.
36 + -3x + -1x = 66 + x + -1x

Combine like terms: -3x + -1x = -4x
36 + -4x = 66 + x + -1x

Combine like terms: x + -1x = 0
36 + -4x = 66 + 0
36 + -4x = 66

Add '-36' to each side of the equation.
36 + -36 + -4x = 66 + -36

Combine like terms: 36 + -36 = 0
0 + -4x = 66 + -36
-4x = 66 + -36

Combine like terms: 66 + -36 = 30
-4x = 30

Divide each side by '-4'.
x = -7.5

Simplifying
x = -7.5

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