5x(3+2x)-x(10x+1)=8x+12

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Solution for 5x(3+2x)-x(10x+1)=8x+12 equation: 


Simplifying
5x(3 + 2x) + -1x(10x + 1) = 8x + 12
(3 * 5x + 2x * 5x) + -1x(10x + 1) = 8x + 12
(15x + 10x2) + -1x(10x + 1) = 8x + 12

Reorder the terms:
15x + 10x2 + -1x(1 + 10x) = 8x + 12
15x + 10x2 + (1 * -1x + 10x * -1x) = 8x + 12
15x + 10x2 + (-1x + -10x2) = 8x + 12

Reorder the terms:
15x + -1x + 10x2 + -10x2 = 8x + 12

Combine like terms: 15x + -1x = 14x
14x + 10x2 + -10x2 = 8x + 12

Combine like terms: 10x2 + -10x2 = 0
14x + 0 = 8x + 12
14x = 8x + 12

Reorder the terms:
14x = 12 + 8x

Solving
14x = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
14x + -8x = 12 + 8x + -8x

Combine like terms: 14x + -8x = 6x
6x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
6x = 12 + 0
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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