(2x+1)*(7-2x)+x(x-3)=3x(8-x)

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Solution for (2x+1)*(7-2x)+x(x-3)=3x(8-x) equation: 


Simplifying
(2x + 1)(7 + -2x) + x(x + -3) = 3x(8 + -1x)

Reorder the terms:
(1 + 2x)(7 + -2x) + x(x + -3) = 3x(8 + -1x)

Multiply (1 + 2x) * (7 + -2x)
(1(7 + -2x) + 2x * (7 + -2x)) + x(x + -3) = 3x(8 + -1x)
((7 * 1 + -2x * 1) + 2x * (7 + -2x)) + x(x + -3) = 3x(8 + -1x)
((7 + -2x) + 2x * (7 + -2x)) + x(x + -3) = 3x(8 + -1x)
(7 + -2x + (7 * 2x + -2x * 2x)) + x(x + -3) = 3x(8 + -1x)
(7 + -2x + (14x + -4x2)) + x(x + -3) = 3x(8 + -1x)

Combine like terms: -2x + 14x = 12x
(7 + 12x + -4x2) + x(x + -3) = 3x(8 + -1x)

Reorder the terms:
7 + 12x + -4x2 + x(-3 + x) = 3x(8 + -1x)
7 + 12x + -4x2 + (-3 * x + x * x) = 3x(8 + -1x)
7 + 12x + -4x2 + (-3x + x2) = 3x(8 + -1x)

Reorder the terms:
7 + 12x + -3x + -4x2 + x2 = 3x(8 + -1x)

Combine like terms: 12x + -3x = 9x
7 + 9x + -4x2 + x2 = 3x(8 + -1x)

Combine like terms: -4x2 + x2 = -3x2
7 + 9x + -3x2 = 3x(8 + -1x)
7 + 9x + -3x2 = (8 * 3x + -1x * 3x)
7 + 9x + -3x2 = (24x + -3x2)

Add '3x2' to each side of the equation.
7 + 9x + -3x2 + 3x2 = 24x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
7 + 9x + 0 = 24x + -3x2 + 3x2
7 + 9x = 24x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
7 + 9x = 24x + 0
7 + 9x = 24x

Solving
7 + 9x = 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
7 + 9x + -24x = 24x + -24x

Combine like terms: 9x + -24x = -15x
7 + -15x = 24x + -24x

Combine like terms: 24x + -24x = 0
7 + -15x = 0

Add '-7' to each side of the equation.
7 + -7 + -15x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -15x = 0 + -7
-15x = 0 + -7

Combine like terms: 0 + -7 = -7
-15x = -7

Divide each side by '-15'.
x = 0.4666666667

Simplifying
x = 0.4666666667

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