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

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


Simplifying
x2 + 3(x + -1) = x2 + 5

Reorder the terms:
x2 + 3(-1 + x) = x2 + 5
x2 + (-1 * 3 + x * 3) = x2 + 5
x2 + (-3 + 3x) = x2 + 5

Reorder the terms:
-3 + 3x + x2 = x2 + 5

Reorder the terms:
-3 + 3x + x2 = 5 + x2

Add '-1x2' to each side of the equation.
-3 + 3x + x2 + -1x2 = 5 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 3x + 0 = 5 + x2 + -1x2
-3 + 3x = 5 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 3x = 5 + 0
-3 + 3x = 5

Solving
-3 + 3x = 5

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 3x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = 5 + 3
3x = 5 + 3

Combine like terms: 5 + 3 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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