3x=(4x+2)(m+5)

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Solution for 3x=(4x+2)(m+5) equation:


Simplifying
3x = (4x + 2)(m + 5)

Reorder the terms:
3x = (2 + 4x)(m + 5)

Reorder the terms:
3x = (2 + 4x)(5 + m)

Multiply (2 + 4x) * (5 + m)
3x = (2(5 + m) + 4x * (5 + m))
3x = ((5 * 2 + m * 2) + 4x * (5 + m))
3x = ((10 + 2m) + 4x * (5 + m))
3x = (10 + 2m + (5 * 4x + m * 4x))

Reorder the terms:
3x = (10 + 2m + (4mx + 20x))
3x = (10 + 2m + (4mx + 20x))
3x = (10 + 2m + 4mx + 20x)

Solving
3x = 10 + 2m + 4mx + 20x

Solving for variable 'x'.

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

Add '-4mx' to each side of the equation.
-4mx + 3x = 10 + 2m + 4mx + -4mx + 20x

Combine like terms: 4mx + -4mx = 0
-4mx + 3x = 10 + 2m + 0 + 20x
-4mx + 3x = 10 + 2m + 20x

Add '-20x' to each side of the equation.
-4mx + 3x + -20x = 10 + 2m + 20x + -20x

Combine like terms: 3x + -20x = -17x
-4mx + -17x = 10 + 2m + 20x + -20x

Combine like terms: 20x + -20x = 0
-4mx + -17x = 10 + 2m + 0
-4mx + -17x = 10 + 2m

Reorder the terms:
-10 + -2m + -4mx + -17x = 10 + 2m + -10 + -2m

Reorder the terms:
-10 + -2m + -4mx + -17x = 10 + -10 + 2m + -2m

Combine like terms: 10 + -10 = 0
-10 + -2m + -4mx + -17x = 0 + 2m + -2m
-10 + -2m + -4mx + -17x = 2m + -2m

Combine like terms: 2m + -2m = 0
-10 + -2m + -4mx + -17x = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(10 + 2m + 4mx + 17x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(10 + 2m + 4mx + 17x)' equal to zero and attempt to solve: Simplifying 10 + 2m + 4mx + 17x = 0 Solving 10 + 2m + 4mx + 17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2m + 4mx + -10 + 17x = 0 + -10 Reorder the terms: 10 + -10 + 2m + 4mx + 17x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2m + 4mx + 17x = 0 + -10 2m + 4mx + 17x = 0 + -10 Combine like terms: 0 + -10 = -10 2m + 4mx + 17x = -10 Add '-2m' to each side of the equation. 2m + 4mx + -2m + 17x = -10 + -2m Reorder the terms: 2m + -2m + 4mx + 17x = -10 + -2m Combine like terms: 2m + -2m = 0 0 + 4mx + 17x = -10 + -2m 4mx + 17x = -10 + -2m 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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