x+3x(2+2x)=3x(2x)+14

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Solution for x+3x(2+2x)=3x(2x)+14 equation: 


Simplifying
x + 3x(2 + 2x) = 3x(2x) + 14
x + (2 * 3x + 2x * 3x) = 3x(2x) + 14
x + (6x + 6x2) = 3x(2x) + 14

Combine like terms: x + 6x = 7x
7x + 6x2 = 3x(2x) + 14

Remove parenthesis around (2x)
7x + 6x2 = 3x * 2x + 14

Reorder the terms for easier multiplication:
7x + 6x2 = 3 * 2x * x + 14

Multiply 3 * 2
7x + 6x2 = 6x * x + 14

Multiply x * x
7x + 6x2 = 6x2 + 14

Reorder the terms:
7x + 6x2 = 14 + 6x2

Add '-6x2' to each side of the equation.
7x + 6x2 + -6x2 = 14 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
7x + 0 = 14 + 6x2 + -6x2
7x = 14 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
7x = 14 + 0
7x = 14

Solving
7x = 14

Solving for variable 'x'.

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

Divide each side by '7'.
x = 2

Simplifying
x = 2

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