(2x-3)(3x-1)-(6x+2)(x-5)=25

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Solution for (2x-3)(3x-1)-(6x+2)(x-5)=25 equation:


Simplifying
(2x + -3)(3x + -1) + -1(6x + 2)(x + -5) = 25

Reorder the terms:
(-3 + 2x)(3x + -1) + -1(6x + 2)(x + -5) = 25

Reorder the terms:
(-3 + 2x)(-1 + 3x) + -1(6x + 2)(x + -5) = 25

Multiply (-3 + 2x) * (-1 + 3x)
(-3(-1 + 3x) + 2x * (-1 + 3x)) + -1(6x + 2)(x + -5) = 25
((-1 * -3 + 3x * -3) + 2x * (-1 + 3x)) + -1(6x + 2)(x + -5) = 25
((3 + -9x) + 2x * (-1 + 3x)) + -1(6x + 2)(x + -5) = 25
(3 + -9x + (-1 * 2x + 3x * 2x)) + -1(6x + 2)(x + -5) = 25
(3 + -9x + (-2x + 6x2)) + -1(6x + 2)(x + -5) = 25

Combine like terms: -9x + -2x = -11x
(3 + -11x + 6x2) + -1(6x + 2)(x + -5) = 25

Reorder the terms:
3 + -11x + 6x2 + -1(2 + 6x)(x + -5) = 25

Reorder the terms:
3 + -11x + 6x2 + -1(2 + 6x)(-5 + x) = 25

Multiply (2 + 6x) * (-5 + x)
3 + -11x + 6x2 + -1(2(-5 + x) + 6x * (-5 + x)) = 25
3 + -11x + 6x2 + -1((-5 * 2 + x * 2) + 6x * (-5 + x)) = 25
3 + -11x + 6x2 + -1((-10 + 2x) + 6x * (-5 + x)) = 25
3 + -11x + 6x2 + -1(-10 + 2x + (-5 * 6x + x * 6x)) = 25
3 + -11x + 6x2 + -1(-10 + 2x + (-30x + 6x2)) = 25

Combine like terms: 2x + -30x = -28x
3 + -11x + 6x2 + -1(-10 + -28x + 6x2) = 25
3 + -11x + 6x2 + (-10 * -1 + -28x * -1 + 6x2 * -1) = 25
3 + -11x + 6x2 + (10 + 28x + -6x2) = 25

Reorder the terms:
3 + 10 + -11x + 28x + 6x2 + -6x2 = 25

Combine like terms: 3 + 10 = 13
13 + -11x + 28x + 6x2 + -6x2 = 25

Combine like terms: -11x + 28x = 17x
13 + 17x + 6x2 + -6x2 = 25

Combine like terms: 6x2 + -6x2 = 0
13 + 17x + 0 = 25
13 + 17x = 25

Solving
13 + 17x = 25

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 17x = 25 + -13

Combine like terms: 13 + -13 = 0
0 + 17x = 25 + -13
17x = 25 + -13

Combine like terms: 25 + -13 = 12
17x = 12

Divide each side by '17'.
x = 0.7058823529

Simplifying
x = 0.7058823529

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