(1x-3)x(-8)-(-12)=5x-(2x-3)

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Solution for (1x-3)x(-8)-(-12)=5x-(2x-3) equation:


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

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

Reorder the terms for easier multiplication:
-8x(-3 + 1x) + -1(-12) = 5x + -1(2x + -3)
(-3 * -8x + 1x * -8x) + -1(-12) = 5x + -1(2x + -3)
(24x + -8x2) + -1(-12) = 5x + -1(2x + -3)

Multiply -1 * -12
24x + -8x2 + 12 = 5x + -1(2x + -3)

Reorder the terms:
12 + 24x + -8x2 = 5x + -1(2x + -3)

Reorder the terms:
12 + 24x + -8x2 = 5x + -1(-3 + 2x)
12 + 24x + -8x2 = 5x + (-3 * -1 + 2x * -1)
12 + 24x + -8x2 = 5x + (3 + -2x)

Reorder the terms:
12 + 24x + -8x2 = 3 + 5x + -2x

Combine like terms: 5x + -2x = 3x
12 + 24x + -8x2 = 3 + 3x

Solving
12 + 24x + -8x2 = 3 + 3x

Solving for variable 'x'.

Reorder the terms:
12 + -3 + 24x + -3x + -8x2 = 3 + 3x + -3 + -3x

Combine like terms: 12 + -3 = 9
9 + 24x + -3x + -8x2 = 3 + 3x + -3 + -3x

Combine like terms: 24x + -3x = 21x
9 + 21x + -8x2 = 3 + 3x + -3 + -3x

Reorder the terms:
9 + 21x + -8x2 = 3 + -3 + 3x + -3x

Combine like terms: 3 + -3 = 0
9 + 21x + -8x2 = 0 + 3x + -3x
9 + 21x + -8x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
9 + 21x + -8x2 = 0

Factor a trinomial.
(3 + -1x)(3 + 8x) = 0

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Subproblem 2

Set the factor '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375

Solution

x = {3, -0.375}

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