(7x-3+(x)2)2=(2x-1)2

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Solution for (7x-3+(x)2)2=(2x-1)2 equation:


Simplifying
(7x + -3 + (x) * 2) * 2 = (2x + -1) * 2

Reorder the terms for easier multiplication:
(7x + -3 + 2x) * 2 = (2x + -1) * 2

Reorder the terms:
(-3 + 7x + 2x) * 2 = (2x + -1) * 2

Combine like terms: 7x + 2x = 9x
(-3 + 9x) * 2 = (2x + -1) * 2

Reorder the terms for easier multiplication:
2(-3 + 9x) = (2x + -1) * 2
(-3 * 2 + 9x * 2) = (2x + -1) * 2
(-6 + 18x) = (2x + -1) * 2

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

Reorder the terms for easier multiplication:
-6 + 18x = 2(-1 + 2x)
-6 + 18x = (-1 * 2 + 2x * 2)
-6 + 18x = (-2 + 4x)

Solving
-6 + 18x = -2 + 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.
-6 + 18x + -4x = -2 + 4x + -4x

Combine like terms: 18x + -4x = 14x
-6 + 14x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 14x = -2 + 0
-6 + 14x = -2

Add '6' to each side of the equation.
-6 + 6 + 14x = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 14x = -2 + 6
14x = -2 + 6

Combine like terms: -2 + 6 = 4
14x = 4

Divide each side by '14'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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