4+6(2x-3)=(1-3x)2+x

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Solution for 4+6(2x-3)=(1-3x)2+x equation:


Simplifying
4 + 6(2x + -3) = (1 + -3x) * 2 + x

Reorder the terms:
4 + 6(-3 + 2x) = (1 + -3x) * 2 + x
4 + (-3 * 6 + 2x * 6) = (1 + -3x) * 2 + x
4 + (-18 + 12x) = (1 + -3x) * 2 + x

Combine like terms: 4 + -18 = -14
-14 + 12x = (1 + -3x) * 2 + x

Reorder the terms for easier multiplication:
-14 + 12x = 2(1 + -3x) + x
-14 + 12x = (1 * 2 + -3x * 2) + x
-14 + 12x = (2 + -6x) + x

Combine like terms: -6x + x = -5x
-14 + 12x = 2 + -5x

Solving
-14 + 12x = 2 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-14 + 12x + 5x = 2 + -5x + 5x

Combine like terms: 12x + 5x = 17x
-14 + 17x = 2 + -5x + 5x

Combine like terms: -5x + 5x = 0
-14 + 17x = 2 + 0
-14 + 17x = 2

Add '14' to each side of the equation.
-14 + 14 + 17x = 2 + 14

Combine like terms: -14 + 14 = 0
0 + 17x = 2 + 14
17x = 2 + 14

Combine like terms: 2 + 14 = 16
17x = 16

Divide each side by '17'.
x = 0.9411764706

Simplifying
x = 0.9411764706

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