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

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


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

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

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

Multiply (-3 + 3x) * (4 + m)
5x = (-3(4 + m) + 3x * (4 + m))
5x = ((4 * -3 + m * -3) + 3x * (4 + m))
5x = ((-12 + -3m) + 3x * (4 + m))
5x = (-12 + -3m + (4 * 3x + m * 3x))

Reorder the terms:
5x = (-12 + -3m + (3mx + 12x))
5x = (-12 + -3m + (3mx + 12x))
5x = (-12 + -3m + 3mx + 12x)

Solving
5x = -12 + -3m + 3mx + 12x

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 + 5x = -12 + -3m + 3mx + -3mx + 12x

Combine like terms: 3mx + -3mx = 0
-3mx + 5x = -12 + -3m + 0 + 12x
-3mx + 5x = -12 + -3m + 12x

Add '-12x' to each side of the equation.
-3mx + 5x + -12x = -12 + -3m + 12x + -12x

Combine like terms: 5x + -12x = -7x
-3mx + -7x = -12 + -3m + 12x + -12x

Combine like terms: 12x + -12x = 0
-3mx + -7x = -12 + -3m + 0
-3mx + -7x = -12 + -3m

Reorder the terms:
12 + 3m + -3mx + -7x = -12 + -3m + 12 + 3m

Reorder the terms:
12 + 3m + -3mx + -7x = -12 + 12 + -3m + 3m

Combine like terms: -12 + 12 = 0
12 + 3m + -3mx + -7x = 0 + -3m + 3m
12 + 3m + -3mx + -7x = -3m + 3m

Combine like terms: -3m + 3m = 0
12 + 3m + -3mx + -7x = 0

The solution to this equation could not be determined.

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