66-(3x+11)=3(x+9)+x

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Solution for 66-(3x+11)=3(x+9)+x equation:


Simplifying
66 + -1(3x + 11) = 3(x + 9) + x

Reorder the terms:
66 + -1(11 + 3x) = 3(x + 9) + x
66 + (11 * -1 + 3x * -1) = 3(x + 9) + x
66 + (-11 + -3x) = 3(x + 9) + x

Combine like terms: 66 + -11 = 55
55 + -3x = 3(x + 9) + x

Reorder the terms:
55 + -3x = 3(9 + x) + x
55 + -3x = (9 * 3 + x * 3) + x
55 + -3x = (27 + 3x) + x

Combine like terms: 3x + x = 4x
55 + -3x = 27 + 4x

Solving
55 + -3x = 27 + 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.
55 + -3x + -4x = 27 + 4x + -4x

Combine like terms: -3x + -4x = -7x
55 + -7x = 27 + 4x + -4x

Combine like terms: 4x + -4x = 0
55 + -7x = 27 + 0
55 + -7x = 27

Add '-55' to each side of the equation.
55 + -55 + -7x = 27 + -55

Combine like terms: 55 + -55 = 0
0 + -7x = 27 + -55
-7x = 27 + -55

Combine like terms: 27 + -55 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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