11-4x=(3x-2)2+1

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Solution for 11-4x=(3x-2)2+1 equation:


Simplifying
11 + -4x = (3x + -2) * 2 + 1

Reorder the terms:
11 + -4x = (-2 + 3x) * 2 + 1

Reorder the terms for easier multiplication:
11 + -4x = 2(-2 + 3x) + 1
11 + -4x = (-2 * 2 + 3x * 2) + 1
11 + -4x = (-4 + 6x) + 1

Reorder the terms:
11 + -4x = -4 + 1 + 6x

Combine like terms: -4 + 1 = -3
11 + -4x = -3 + 6x

Solving
11 + -4x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
11 + -4x + -6x = -3 + 6x + -6x

Combine like terms: -4x + -6x = -10x
11 + -10x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
11 + -10x = -3 + 0
11 + -10x = -3

Add '-11' to each side of the equation.
11 + -11 + -10x = -3 + -11

Combine like terms: 11 + -11 = 0
0 + -10x = -3 + -11
-10x = -3 + -11

Combine like terms: -3 + -11 = -14
-10x = -14

Divide each side by '-10'.
x = 1.4

Simplifying
x = 1.4

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