(10x+9)x=8-(1-5x)(2x+3)

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Solution for (10x+9)x=8-(1-5x)(2x+3) equation:


Simplifying
(10x + 9) * x = 8 + -1(1 + -5x)(2x + 3)

Reorder the terms:
(9 + 10x) * x = 8 + -1(1 + -5x)(2x + 3)

Reorder the terms for easier multiplication:
x(9 + 10x) = 8 + -1(1 + -5x)(2x + 3)
(9 * x + 10x * x) = 8 + -1(1 + -5x)(2x + 3)
(9x + 10x2) = 8 + -1(1 + -5x)(2x + 3)

Reorder the terms:
9x + 10x2 = 8 + -1(1 + -5x)(3 + 2x)

Multiply (1 + -5x) * (3 + 2x)
9x + 10x2 = 8 + -1(1(3 + 2x) + -5x * (3 + 2x))
9x + 10x2 = 8 + -1((3 * 1 + 2x * 1) + -5x * (3 + 2x))
9x + 10x2 = 8 + -1((3 + 2x) + -5x * (3 + 2x))
9x + 10x2 = 8 + -1(3 + 2x + (3 * -5x + 2x * -5x))
9x + 10x2 = 8 + -1(3 + 2x + (-15x + -10x2))

Combine like terms: 2x + -15x = -13x
9x + 10x2 = 8 + -1(3 + -13x + -10x2)
9x + 10x2 = 8 + (3 * -1 + -13x * -1 + -10x2 * -1)
9x + 10x2 = 8 + (-3 + 13x + 10x2)

Combine like terms: 8 + -3 = 5
9x + 10x2 = 5 + 13x + 10x2

Add '-10x2' to each side of the equation.
9x + 10x2 + -10x2 = 5 + 13x + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
9x + 0 = 5 + 13x + 10x2 + -10x2
9x = 5 + 13x + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
9x = 5 + 13x + 0
9x = 5 + 13x

Solving
9x = 5 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
9x + -13x = 5 + 13x + -13x

Combine like terms: 9x + -13x = -4x
-4x = 5 + 13x + -13x

Combine like terms: 13x + -13x = 0
-4x = 5 + 0
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

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