(3x-4)(x-2)-(x-3)(3x-4)=0

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Solution for (3x-4)(x-2)-(x-3)(3x-4)=0 equation: 


Simplifying
(3x + -4)(x + -2) + -1(x + -3)(3x + -4) = 0

Reorder the terms:
(-4 + 3x)(x + -2) + -1(x + -3)(3x + -4) = 0

Reorder the terms:
(-4 + 3x)(-2 + x) + -1(x + -3)(3x + -4) = 0

Multiply (-4 + 3x) * (-2 + x)
(-4(-2 + x) + 3x * (-2 + x)) + -1(x + -3)(3x + -4) = 0
((-2 * -4 + x * -4) + 3x * (-2 + x)) + -1(x + -3)(3x + -4) = 0
((8 + -4x) + 3x * (-2 + x)) + -1(x + -3)(3x + -4) = 0
(8 + -4x + (-2 * 3x + x * 3x)) + -1(x + -3)(3x + -4) = 0
(8 + -4x + (-6x + 3x2)) + -1(x + -3)(3x + -4) = 0

Combine like terms: -4x + -6x = -10x
(8 + -10x + 3x2) + -1(x + -3)(3x + -4) = 0

Reorder the terms:
8 + -10x + 3x2 + -1(-3 + x)(3x + -4) = 0

Reorder the terms:
8 + -10x + 3x2 + -1(-3 + x)(-4 + 3x) = 0

Multiply (-3 + x) * (-4 + 3x)
8 + -10x + 3x2 + -1(-3(-4 + 3x) + x(-4 + 3x)) = 0
8 + -10x + 3x2 + -1((-4 * -3 + 3x * -3) + x(-4 + 3x)) = 0
8 + -10x + 3x2 + -1((12 + -9x) + x(-4 + 3x)) = 0
8 + -10x + 3x2 + -1(12 + -9x + (-4 * x + 3x * x)) = 0
8 + -10x + 3x2 + -1(12 + -9x + (-4x + 3x2)) = 0

Combine like terms: -9x + -4x = -13x
8 + -10x + 3x2 + -1(12 + -13x + 3x2) = 0
8 + -10x + 3x2 + (12 * -1 + -13x * -1 + 3x2 * -1) = 0
8 + -10x + 3x2 + (-12 + 13x + -3x2) = 0

Reorder the terms:
8 + -12 + -10x + 13x + 3x2 + -3x2 = 0

Combine like terms: 8 + -12 = -4
-4 + -10x + 13x + 3x2 + -3x2 = 0

Combine like terms: -10x + 13x = 3x
-4 + 3x + 3x2 + -3x2 = 0

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

Solving
-4 + 3x = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 0 + 4
3x = 0 + 4

Combine like terms: 0 + 4 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333

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