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

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


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

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

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

Multiply (-3 + 3x) * (5 + m)
2x = (-3(5 + m) + 3x * (5 + m))
2x = ((5 * -3 + m * -3) + 3x * (5 + m))
2x = ((-15 + -3m) + 3x * (5 + m))
2x = (-15 + -3m + (5 * 3x + m * 3x))

Reorder the terms:
2x = (-15 + -3m + (3mx + 15x))
2x = (-15 + -3m + (3mx + 15x))
2x = (-15 + -3m + 3mx + 15x)

Solving
2x = -15 + -3m + 3mx + 15x

Solving for variable 'x'.

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

Add '-3mx' to each side of the equation.
-3mx + 2x = -15 + -3m + 3mx + -3mx + 15x

Combine like terms: 3mx + -3mx = 0
-3mx + 2x = -15 + -3m + 0 + 15x
-3mx + 2x = -15 + -3m + 15x

Add '-15x' to each side of the equation.
-3mx + 2x + -15x = -15 + -3m + 15x + -15x

Combine like terms: 2x + -15x = -13x
-3mx + -13x = -15 + -3m + 15x + -15x

Combine like terms: 15x + -15x = 0
-3mx + -13x = -15 + -3m + 0
-3mx + -13x = -15 + -3m

Reorder the terms:
15 + 3m + -3mx + -13x = -15 + -3m + 15 + 3m

Reorder the terms:
15 + 3m + -3mx + -13x = -15 + 15 + -3m + 3m

Combine like terms: -15 + 15 = 0
15 + 3m + -3mx + -13x = 0 + -3m + 3m
15 + 3m + -3mx + -13x = -3m + 3m

Combine like terms: -3m + 3m = 0
15 + 3m + -3mx + -13x = 0

The solution to this equation could not be determined.

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