(2x+1)(5-6x)+4x(4+3x)=10

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Solution for (2x+1)(5-6x)+4x(4+3x)=10 equation: 


Simplifying
(2x + 1)(5 + -6x) + 4x(4 + 3x) = 10

Reorder the terms:
(1 + 2x)(5 + -6x) + 4x(4 + 3x) = 10

Multiply (1 + 2x) * (5 + -6x)
(1(5 + -6x) + 2x * (5 + -6x)) + 4x(4 + 3x) = 10
((5 * 1 + -6x * 1) + 2x * (5 + -6x)) + 4x(4 + 3x) = 10
((5 + -6x) + 2x * (5 + -6x)) + 4x(4 + 3x) = 10
(5 + -6x + (5 * 2x + -6x * 2x)) + 4x(4 + 3x) = 10
(5 + -6x + (10x + -12x2)) + 4x(4 + 3x) = 10

Combine like terms: -6x + 10x = 4x
(5 + 4x + -12x2) + 4x(4 + 3x) = 10
5 + 4x + -12x2 + (4 * 4x + 3x * 4x) = 10
5 + 4x + -12x2 + (16x + 12x2) = 10

Reorder the terms:
5 + 4x + 16x + -12x2 + 12x2 = 10

Combine like terms: 4x + 16x = 20x
5 + 20x + -12x2 + 12x2 = 10

Combine like terms: -12x2 + 12x2 = 0
5 + 20x + 0 = 10
5 + 20x = 10

Solving
5 + 20x = 10

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 20x = 10 + -5

Combine like terms: 5 + -5 = 0
0 + 20x = 10 + -5
20x = 10 + -5

Combine like terms: 10 + -5 = 5
20x = 5

Divide each side by '20'.
x = 0.25

Simplifying
x = 0.25

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