2x*(3-x)-4*(x+2)=3x*(2-3x)+5+7x^2-12

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Solution for 2x*(3-x)-4*(x+2)=3x*(2-3x)+5+7x^2-12 equation: 


Simplifying
2x(3 + -1x) + -4(x + 2) = 3x(2 + -3x) + 5 + 7x2 + -12
(3 * 2x + -1x * 2x) + -4(x + 2) = 3x(2 + -3x) + 5 + 7x2 + -12
(6x + -2x2) + -4(x + 2) = 3x(2 + -3x) + 5 + 7x2 + -12

Reorder the terms:
6x + -2x2 + -4(2 + x) = 3x(2 + -3x) + 5 + 7x2 + -12
6x + -2x2 + (2 * -4 + x * -4) = 3x(2 + -3x) + 5 + 7x2 + -12
6x + -2x2 + (-8 + -4x) = 3x(2 + -3x) + 5 + 7x2 + -12

Reorder the terms:
-8 + 6x + -4x + -2x2 = 3x(2 + -3x) + 5 + 7x2 + -12

Combine like terms: 6x + -4x = 2x
-8 + 2x + -2x2 = 3x(2 + -3x) + 5 + 7x2 + -12
-8 + 2x + -2x2 = (2 * 3x + -3x * 3x) + 5 + 7x2 + -12
-8 + 2x + -2x2 = (6x + -9x2) + 5 + 7x2 + -12

Reorder the terms:
-8 + 2x + -2x2 = 5 + -12 + 6x + -9x2 + 7x2

Combine like terms: 5 + -12 = -7
-8 + 2x + -2x2 = -7 + 6x + -9x2 + 7x2

Combine like terms: -9x2 + 7x2 = -2x2
-8 + 2x + -2x2 = -7 + 6x + -2x2

Add '2x2' to each side of the equation.
-8 + 2x + -2x2 + 2x2 = -7 + 6x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-8 + 2x + 0 = -7 + 6x + -2x2 + 2x2
-8 + 2x = -7 + 6x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-8 + 2x = -7 + 6x + 0
-8 + 2x = -7 + 6x

Solving
-8 + 2x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 2x + -6x = -7 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-8 + -4x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -4x = -7 + 0
-8 + -4x = -7

Add '8' to each side of the equation.
-8 + 8 + -4x = -7 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = -7 + 8
-4x = -7 + 8

Combine like terms: -7 + 8 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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