3x+x(2+2x)+10=5(x^2+2)-3(x^2-1)

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Solution for 3x+x(2+2x)+10=5(x^2+2)-3(x^2-1) equation: 


Simplifying
3x + x(2 + 2x) + 10 = 5(x2 + 2) + -3(x2 + -1)
3x + (2 * x + 2x * x) + 10 = 5(x2 + 2) + -3(x2 + -1)
3x + (2x + 2x2) + 10 = 5(x2 + 2) + -3(x2 + -1)

Reorder the terms:
10 + 3x + 2x + 2x2 = 5(x2 + 2) + -3(x2 + -1)

Combine like terms: 3x + 2x = 5x
10 + 5x + 2x2 = 5(x2 + 2) + -3(x2 + -1)

Reorder the terms:
10 + 5x + 2x2 = 5(2 + x2) + -3(x2 + -1)
10 + 5x + 2x2 = (2 * 5 + x2 * 5) + -3(x2 + -1)
10 + 5x + 2x2 = (10 + 5x2) + -3(x2 + -1)

Reorder the terms:
10 + 5x + 2x2 = 10 + 5x2 + -3(-1 + x2)
10 + 5x + 2x2 = 10 + 5x2 + (-1 * -3 + x2 * -3)
10 + 5x + 2x2 = 10 + 5x2 + (3 + -3x2)

Reorder the terms:
10 + 5x + 2x2 = 10 + 3 + 5x2 + -3x2

Combine like terms: 10 + 3 = 13
10 + 5x + 2x2 = 13 + 5x2 + -3x2

Combine like terms: 5x2 + -3x2 = 2x2
10 + 5x + 2x2 = 13 + 2x2

Add '-2x2' to each side of the equation.
10 + 5x + 2x2 + -2x2 = 13 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
10 + 5x + 0 = 13 + 2x2 + -2x2
10 + 5x = 13 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
10 + 5x = 13 + 0
10 + 5x = 13

Solving
10 + 5x = 13

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 5x = 13 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 13 + -10
5x = 13 + -10

Combine like terms: 13 + -10 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6

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