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

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


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

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

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

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

Multiply -1 * 2
4 + 2x + -2(1 + -1x) = 3
4 + 2x + (1 * -2 + -1x * -2) = 3
4 + 2x + (-2 + 2x) = 3

Reorder the terms:
4 + -2 + 2x + 2x = 3

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

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

Solving
2 + 4x = 3

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 + 4x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 3 + -2
4x = 3 + -2

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

Divide each side by '4'.
x = 0.25

Simplifying
x = 0.25

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