12(3+x)=5(2x+8)P

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Solution for 12(3+x)=5(2x+8)P equation:


Simplifying
12(3 + x) = 5(2x + 8) * P
(3 * 12 + x * 12) = 5(2x + 8) * P
(36 + 12x) = 5(2x + 8) * P

Reorder the terms:
36 + 12x = 5(8 + 2x) * P

Reorder the terms for easier multiplication:
36 + 12x = 5P(8 + 2x)
36 + 12x = (8 * 5P + 2x * 5P)
36 + 12x = (40P + 10xP)

Solving
36 + 12x = 40P + 10xP

Solving for variable 'x'.

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

Add '-10xP' to each side of the equation.
36 + 12x + -10xP = 40P + 10xP + -10xP

Combine like terms: 10xP + -10xP = 0
36 + 12x + -10xP = 40P + 0
36 + 12x + -10xP = 40P

Add '-36' to each side of the equation.
36 + 12x + -36 + -10xP = -36 + 40P

Reorder the terms:
36 + -36 + 12x + -10xP = -36 + 40P

Combine like terms: 36 + -36 = 0
0 + 12x + -10xP = -36 + 40P
12x + -10xP = -36 + 40P

Reorder the terms:
36 + -40P + 12x + -10xP = -36 + 40P + 36 + -40P

Reorder the terms:
36 + -40P + 12x + -10xP = -36 + 36 + 40P + -40P

Combine like terms: -36 + 36 = 0
36 + -40P + 12x + -10xP = 0 + 40P + -40P
36 + -40P + 12x + -10xP = 40P + -40P

Combine like terms: 40P + -40P = 0
36 + -40P + 12x + -10xP = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + -20P + 6x + -5xP) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(18 + -20P + 6x + -5xP)' equal to zero and attempt to solve: Simplifying 18 + -20P + 6x + -5xP = 0 Solving 18 + -20P + 6x + -5xP = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -20P + 6x + -18 + -5xP = 0 + -18 Reorder the terms: 18 + -18 + -20P + 6x + -5xP = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -20P + 6x + -5xP = 0 + -18 -20P + 6x + -5xP = 0 + -18 Combine like terms: 0 + -18 = -18 -20P + 6x + -5xP = -18 Add '20P' to each side of the equation. -20P + 6x + 20P + -5xP = -18 + 20P Reorder the terms: -20P + 20P + 6x + -5xP = -18 + 20P Combine like terms: -20P + 20P = 0 0 + 6x + -5xP = -18 + 20P 6x + -5xP = -18 + 20P 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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