x*x+2+3x-5=x*x-5*x-29

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Solution for x*x+2+3x-5=x*x-5*x-29 equation:


Simplifying
x * x + 2 + 3x + -5 = x * x + -5x + -29

Multiply x * x
x2 + 2 + 3x + -5 = x * x + -5x + -29

Reorder the terms:
2 + -5 + 3x + x2 = x * x + -5x + -29

Combine like terms: 2 + -5 = -3
-3 + 3x + x2 = x * x + -5x + -29

Multiply x * x
-3 + 3x + x2 = x2 + -5x + -29

Reorder the terms:
-3 + 3x + x2 = -29 + -5x + x2

Add '-1x2' to each side of the equation.
-3 + 3x + x2 + -1x2 = -29 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 3x + 0 = -29 + -5x + x2 + -1x2
-3 + 3x = -29 + -5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 3x = -29 + -5x + 0
-3 + 3x = -29 + -5x

Solving
-3 + 3x = -29 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-3 + 3x + 5x = -29 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-3 + 8x = -29 + -5x + 5x

Combine like terms: -5x + 5x = 0
-3 + 8x = -29 + 0
-3 + 8x = -29

Add '3' to each side of the equation.
-3 + 3 + 8x = -29 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = -29 + 3
8x = -29 + 3

Combine like terms: -29 + 3 = -26
8x = -26

Divide each side by '8'.
x = -3.25

Simplifying
x = -3.25

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