(2x-3)(3x-2)+(4x-1)(2x-6)=2x(7x-5)+70

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Solution for (2x-3)(3x-2)+(4x-1)(2x-6)=2x(7x-5)+70 equation: 


Simplifying
(2x + -3)(3x + -2) + (4x + -1)(2x + -6) = 2x(7x + -5) + 70

Reorder the terms:
(-3 + 2x)(3x + -2) + (4x + -1)(2x + -6) = 2x(7x + -5) + 70

Reorder the terms:
(-3 + 2x)(-2 + 3x) + (4x + -1)(2x + -6) = 2x(7x + -5) + 70

Multiply (-3 + 2x) * (-2 + 3x)
(-3(-2 + 3x) + 2x * (-2 + 3x)) + (4x + -1)(2x + -6) = 2x(7x + -5) + 70
((-2 * -3 + 3x * -3) + 2x * (-2 + 3x)) + (4x + -1)(2x + -6) = 2x(7x + -5) + 70
((6 + -9x) + 2x * (-2 + 3x)) + (4x + -1)(2x + -6) = 2x(7x + -5) + 70
(6 + -9x + (-2 * 2x + 3x * 2x)) + (4x + -1)(2x + -6) = 2x(7x + -5) + 70
(6 + -9x + (-4x + 6x2)) + (4x + -1)(2x + -6) = 2x(7x + -5) + 70

Combine like terms: -9x + -4x = -13x
(6 + -13x + 6x2) + (4x + -1)(2x + -6) = 2x(7x + -5) + 70

Reorder the terms:
6 + -13x + 6x2 + (-1 + 4x)(2x + -6) = 2x(7x + -5) + 70

Reorder the terms:
6 + -13x + 6x2 + (-1 + 4x)(-6 + 2x) = 2x(7x + -5) + 70

Multiply (-1 + 4x) * (-6 + 2x)
6 + -13x + 6x2 + (-1(-6 + 2x) + 4x * (-6 + 2x)) = 2x(7x + -5) + 70
6 + -13x + 6x2 + ((-6 * -1 + 2x * -1) + 4x * (-6 + 2x)) = 2x(7x + -5) + 70
6 + -13x + 6x2 + ((6 + -2x) + 4x * (-6 + 2x)) = 2x(7x + -5) + 70
6 + -13x + 6x2 + (6 + -2x + (-6 * 4x + 2x * 4x)) = 2x(7x + -5) + 70
6 + -13x + 6x2 + (6 + -2x + (-24x + 8x2)) = 2x(7x + -5) + 70

Combine like terms: -2x + -24x = -26x
6 + -13x + 6x2 + (6 + -26x + 8x2) = 2x(7x + -5) + 70

Reorder the terms:
6 + 6 + -13x + -26x + 6x2 + 8x2 = 2x(7x + -5) + 70

Combine like terms: 6 + 6 = 12
12 + -13x + -26x + 6x2 + 8x2 = 2x(7x + -5) + 70

Combine like terms: -13x + -26x = -39x
12 + -39x + 6x2 + 8x2 = 2x(7x + -5) + 70

Combine like terms: 6x2 + 8x2 = 14x2
12 + -39x + 14x2 = 2x(7x + -5) + 70

Reorder the terms:
12 + -39x + 14x2 = 2x(-5 + 7x) + 70
12 + -39x + 14x2 = (-5 * 2x + 7x * 2x) + 70
12 + -39x + 14x2 = (-10x + 14x2) + 70

Reorder the terms:
12 + -39x + 14x2 = 70 + -10x + 14x2

Add '-14x2' to each side of the equation.
12 + -39x + 14x2 + -14x2 = 70 + -10x + 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
12 + -39x + 0 = 70 + -10x + 14x2 + -14x2
12 + -39x = 70 + -10x + 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
12 + -39x = 70 + -10x + 0
12 + -39x = 70 + -10x

Solving
12 + -39x = 70 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
12 + -39x + 10x = 70 + -10x + 10x

Combine like terms: -39x + 10x = -29x
12 + -29x = 70 + -10x + 10x

Combine like terms: -10x + 10x = 0
12 + -29x = 70 + 0
12 + -29x = 70

Add '-12' to each side of the equation.
12 + -12 + -29x = 70 + -12

Combine like terms: 12 + -12 = 0
0 + -29x = 70 + -12
-29x = 70 + -12

Combine like terms: 70 + -12 = 58
-29x = 58

Divide each side by '-29'.
x = -2

Simplifying
x = -2

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