x(x-2)+2x(x+3)+10=3x(x-1)+31

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Solution for x(x-2)+2x(x+3)+10=3x(x-1)+31 equation: 


Simplifying
x(x + -2) + 2x(x + 3) + 10 = 3x(x + -1) + 31

Reorder the terms:
x(-2 + x) + 2x(x + 3) + 10 = 3x(x + -1) + 31
(-2 * x + x * x) + 2x(x + 3) + 10 = 3x(x + -1) + 31
(-2x + x2) + 2x(x + 3) + 10 = 3x(x + -1) + 31

Reorder the terms:
-2x + x2 + 2x(3 + x) + 10 = 3x(x + -1) + 31
-2x + x2 + (3 * 2x + x * 2x) + 10 = 3x(x + -1) + 31
-2x + x2 + (6x + 2x2) + 10 = 3x(x + -1) + 31

Reorder the terms:
10 + -2x + 6x + x2 + 2x2 = 3x(x + -1) + 31

Combine like terms: -2x + 6x = 4x
10 + 4x + x2 + 2x2 = 3x(x + -1) + 31

Combine like terms: x2 + 2x2 = 3x2
10 + 4x + 3x2 = 3x(x + -1) + 31

Reorder the terms:
10 + 4x + 3x2 = 3x(-1 + x) + 31
10 + 4x + 3x2 = (-1 * 3x + x * 3x) + 31
10 + 4x + 3x2 = (-3x + 3x2) + 31

Reorder the terms:
10 + 4x + 3x2 = 31 + -3x + 3x2

Add '-3x2' to each side of the equation.
10 + 4x + 3x2 + -3x2 = 31 + -3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
10 + 4x + 0 = 31 + -3x + 3x2 + -3x2
10 + 4x = 31 + -3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
10 + 4x = 31 + -3x + 0
10 + 4x = 31 + -3x

Solving
10 + 4x = 31 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + 4x + 3x = 31 + -3x + 3x

Combine like terms: 4x + 3x = 7x
10 + 7x = 31 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 7x = 31 + 0
10 + 7x = 31

Add '-10' to each side of the equation.
10 + -10 + 7x = 31 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 31 + -10
7x = 31 + -10

Combine like terms: 31 + -10 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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