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

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


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

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

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

Multiply (-3 + 2x) * (4 + m)
3x = (-3(4 + m) + 2x * (4 + m))
3x = ((4 * -3 + m * -3) + 2x * (4 + m))
3x = ((-12 + -3m) + 2x * (4 + m))
3x = (-12 + -3m + (4 * 2x + m * 2x))

Reorder the terms:
3x = (-12 + -3m + (2mx + 8x))
3x = (-12 + -3m + (2mx + 8x))
3x = (-12 + -3m + 2mx + 8x)

Solving
3x = -12 + -3m + 2mx + 8x

Solving for variable 'x'.

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

Add '-2mx' to each side of the equation.
-2mx + 3x = -12 + -3m + 2mx + -2mx + 8x

Combine like terms: 2mx + -2mx = 0
-2mx + 3x = -12 + -3m + 0 + 8x
-2mx + 3x = -12 + -3m + 8x

Add '-8x' to each side of the equation.
-2mx + 3x + -8x = -12 + -3m + 8x + -8x

Combine like terms: 3x + -8x = -5x
-2mx + -5x = -12 + -3m + 8x + -8x

Combine like terms: 8x + -8x = 0
-2mx + -5x = -12 + -3m + 0
-2mx + -5x = -12 + -3m

Reorder the terms:
12 + 3m + -2mx + -5x = -12 + -3m + 12 + 3m

Reorder the terms:
12 + 3m + -2mx + -5x = -12 + 12 + -3m + 3m

Combine like terms: -12 + 12 = 0
12 + 3m + -2mx + -5x = 0 + -3m + 3m
12 + 3m + -2mx + -5x = -3m + 3m

Combine like terms: -3m + 3m = 0
12 + 3m + -2mx + -5x = 0

The solution to this equation could not be determined.

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