(2x+1)2-x=6

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


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

Reorder the terms:
(1 + 2x) * 2 + -1x = 6

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

Combine like terms: 4x + -1x = 3x
2 + 3x = 6

Solving
2 + 3x = 6

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 6 + -2
3x = 6 + -2

Combine like terms: 6 + -2 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333

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