X(x+3x)=8(8+(x+2))

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Solution for X(x+3x)=8(8+(x+2)) equation:


Simplifying
X(x + 3x) = 8(8 + (x + 2))

Combine like terms: x + 3x = 4x
X(4x) = 8(8 + (x + 2))

Remove parenthesis around (4x)
X * 4x = 8(8 + (x + 2))

Reorder the terms for easier multiplication:
4X * x = 8(8 + (x + 2))

Multiply X * x
4xX = 8(8 + (x + 2))

Reorder the terms:
4xX = 8(8 + (2 + x))

Remove parenthesis around (2 + x)
4xX = 8(8 + 2 + x)

Combine like terms: 8 + 2 = 10
4xX = 8(10 + x)
4xX = (10 * 8 + x * 8)
4xX = (80 + 8x)

Solving
4xX = 80 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-8x + 4xX = 80 + 8x + -8x

Combine like terms: 8x + -8x = 0
-8x + 4xX = 80 + 0
-8x + 4xX = 80

Reorder the terms:
-80 + -8x + 4xX = 80 + -80

Combine like terms: 80 + -80 = 0
-80 + -8x + 4xX = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-20 + -2x + xX) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-20 + -2x + xX)' equal to zero and attempt to solve: Simplifying -20 + -2x + xX = 0 Solving -20 + -2x + xX = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -2x + 20 + xX = 0 + 20 Reorder the terms: -20 + 20 + -2x + xX = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -2x + xX = 0 + 20 -2x + xX = 0 + 20 Combine like terms: 0 + 20 = 20 -2x + xX = 20 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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