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

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


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

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

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

Multiply (-3 + 4x) * (5 + m)
3x = (-3(5 + m) + 4x * (5 + m))
3x = ((5 * -3 + m * -3) + 4x * (5 + m))
3x = ((-15 + -3m) + 4x * (5 + m))
3x = (-15 + -3m + (5 * 4x + m * 4x))

Reorder the terms:
3x = (-15 + -3m + (4mx + 20x))
3x = (-15 + -3m + (4mx + 20x))
3x = (-15 + -3m + 4mx + 20x)

Solving
3x = -15 + -3m + 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 = -15 + -3m + 4mx + -4mx + 20x

Combine like terms: 4mx + -4mx = 0
-4mx + 3x = -15 + -3m + 0 + 20x
-4mx + 3x = -15 + -3m + 20x

Add '-20x' to each side of the equation.
-4mx + 3x + -20x = -15 + -3m + 20x + -20x

Combine like terms: 3x + -20x = -17x
-4mx + -17x = -15 + -3m + 20x + -20x

Combine like terms: 20x + -20x = 0
-4mx + -17x = -15 + -3m + 0
-4mx + -17x = -15 + -3m

Reorder the terms:
15 + 3m + -4mx + -17x = -15 + -3m + 15 + 3m

Reorder the terms:
15 + 3m + -4mx + -17x = -15 + 15 + -3m + 3m

Combine like terms: -15 + 15 = 0
15 + 3m + -4mx + -17x = 0 + -3m + 3m
15 + 3m + -4mx + -17x = -3m + 3m

Combine like terms: -3m + 3m = 0
15 + 3m + -4mx + -17x = 0

The solution to this equation could not be determined.

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