2(x-3)2=-2x+9

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Solution for 2(x-3)2=-2x+9 equation:


Simplifying
2(x + -3) * 2 = -2x + 9

Reorder the terms:
2(-3 + x) * 2 = -2x + 9

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

Multiply 2 * 2
4(-3 + x) = -2x + 9
(-3 * 4 + x * 4) = -2x + 9
(-12 + 4x) = -2x + 9

Reorder the terms:
-12 + 4x = 9 + -2x

Solving
-12 + 4x = 9 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-12 + 4x + 2x = 9 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-12 + 6x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 6x = 9 + 0
-12 + 6x = 9

Add '12' to each side of the equation.
-12 + 12 + 6x = 9 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 9 + 12
6x = 9 + 12

Combine like terms: 9 + 12 = 21
6x = 21

Divide each side by '6'.
x = 3.5

Simplifying
x = 3.5

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