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

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


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

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

Reorder the terms for easier multiplication:
2(-2 + 3x) = 7x + -1
(-2 * 2 + 3x * 2) = 7x + -1
(-4 + 6x) = 7x + -1

Reorder the terms:
-4 + 6x = -1 + 7x

Solving
-4 + 6x = -1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 6x + -7x = -1 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-4 + -1x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -1x = -1 + 0
-4 + -1x = -1

Add '4' to each side of the equation.
-4 + 4 + -1x = -1 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -1 + 4
-1x = -1 + 4

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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