73-(3x+6)=3(x+6)+x

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Solution for 73-(3x+6)=3(x+6)+x equation:


Simplifying
73 + -1(3x + 6) = 3(x + 6) + x

Reorder the terms:
73 + -1(6 + 3x) = 3(x + 6) + x
73 + (6 * -1 + 3x * -1) = 3(x + 6) + x
73 + (-6 + -3x) = 3(x + 6) + x

Combine like terms: 73 + -6 = 67
67 + -3x = 3(x + 6) + x

Reorder the terms:
67 + -3x = 3(6 + x) + x
67 + -3x = (6 * 3 + x * 3) + x
67 + -3x = (18 + 3x) + x

Combine like terms: 3x + x = 4x
67 + -3x = 18 + 4x

Solving
67 + -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.
67 + -3x + -4x = 18 + 4x + -4x

Combine like terms: -3x + -4x = -7x
67 + -7x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
67 + -7x = 18 + 0
67 + -7x = 18

Add '-67' to each side of the equation.
67 + -67 + -7x = 18 + -67

Combine like terms: 67 + -67 = 0
0 + -7x = 18 + -67
-7x = 18 + -67

Combine like terms: 18 + -67 = -49
-7x = -49

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

Simplifying
x = 7

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