12-2x^2-2x*1+1=4x-8-(x(2x-5)-3(2x-5))

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Solution for 12-2x^2-2x*1+1=4x-8-(x(2x-5)-3(2x-5)) equation:


Simplifying
12 + -2x2 + -2x * 1 + 1 = 4x + -8 + -1(x(2x + -5) + -3(2x + -5))

Reorder the terms for easier multiplication:
12 + -2x2 + -2 * 1x + 1 = 4x + -8 + -1(x(2x + -5) + -3(2x + -5))

Multiply -2 * 1
12 + -2x2 + -2x + 1 = 4x + -8 + -1(x(2x + -5) + -3(2x + -5))

Reorder the terms:
12 + 1 + -2x + -2x2 = 4x + -8 + -1(x(2x + -5) + -3(2x + -5))

Combine like terms: 12 + 1 = 13
13 + -2x + -2x2 = 4x + -8 + -1(x(2x + -5) + -3(2x + -5))

Reorder the terms:
13 + -2x + -2x2 = 4x + -8 + -1(x(-5 + 2x) + -3(2x + -5))
13 + -2x + -2x2 = 4x + -8 + -1((-5 * x + 2x * x) + -3(2x + -5))
13 + -2x + -2x2 = 4x + -8 + -1((-5x + 2x2) + -3(2x + -5))

Reorder the terms:
13 + -2x + -2x2 = 4x + -8 + -1(-5x + 2x2 + -3(-5 + 2x))
13 + -2x + -2x2 = 4x + -8 + -1(-5x + 2x2 + (-5 * -3 + 2x * -3))
13 + -2x + -2x2 = 4x + -8 + -1(-5x + 2x2 + (15 + -6x))

Reorder the terms:
13 + -2x + -2x2 = 4x + -8 + -1(15 + -5x + -6x + 2x2)

Combine like terms: -5x + -6x = -11x
13 + -2x + -2x2 = 4x + -8 + -1(15 + -11x + 2x2)
13 + -2x + -2x2 = 4x + -8 + (15 * -1 + -11x * -1 + 2x2 * -1)
13 + -2x + -2x2 = 4x + -8 + (-15 + 11x + -2x2)

Reorder the terms:
13 + -2x + -2x2 = -8 + -15 + 4x + 11x + -2x2

Combine like terms: -8 + -15 = -23
13 + -2x + -2x2 = -23 + 4x + 11x + -2x2

Combine like terms: 4x + 11x = 15x
13 + -2x + -2x2 = -23 + 15x + -2x2

Add '2x2' to each side of the equation.
13 + -2x + -2x2 + 2x2 = -23 + 15x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
13 + -2x + 0 = -23 + 15x + -2x2 + 2x2
13 + -2x = -23 + 15x + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
13 + -2x = -23 + 15x + 0
13 + -2x = -23 + 15x

Solving
13 + -2x = -23 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
13 + -2x + -15x = -23 + 15x + -15x

Combine like terms: -2x + -15x = -17x
13 + -17x = -23 + 15x + -15x

Combine like terms: 15x + -15x = 0
13 + -17x = -23 + 0
13 + -17x = -23

Add '-13' to each side of the equation.
13 + -13 + -17x = -23 + -13

Combine like terms: 13 + -13 = 0
0 + -17x = -23 + -13
-17x = -23 + -13

Combine like terms: -23 + -13 = -36
-17x = -36

Divide each side by '-17'.
x = 2.117647059

Simplifying
x = 2.117647059

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