5-2x=1+(x-3)2

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Solution for 5-2x=1+(x-3)2 equation:


Simplifying
5 + -2x = 1 + (x + -3) * 2

Reorder the terms:
5 + -2x = 1 + (-3 + x) * 2

Reorder the terms for easier multiplication:
5 + -2x = 1 + 2(-3 + x)
5 + -2x = 1 + (-3 * 2 + x * 2)
5 + -2x = 1 + (-6 + 2x)

Combine like terms: 1 + -6 = -5
5 + -2x = -5 + 2x

Solving
5 + -2x = -5 + 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.
5 + -2x + -2x = -5 + 2x + -2x

Combine like terms: -2x + -2x = -4x
5 + -4x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -4x = -5 + 0
5 + -4x = -5

Add '-5' to each side of the equation.
5 + -5 + -4x = -5 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = -5 + -5
-4x = -5 + -5

Combine like terms: -5 + -5 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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