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

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


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

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

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

Multiply (-3 + 2x) * (3 + m)
5x = (-3(3 + m) + 2x * (3 + m))
5x = ((3 * -3 + m * -3) + 2x * (3 + m))
5x = ((-9 + -3m) + 2x * (3 + m))
5x = (-9 + -3m + (3 * 2x + m * 2x))

Reorder the terms:
5x = (-9 + -3m + (2mx + 6x))
5x = (-9 + -3m + (2mx + 6x))
5x = (-9 + -3m + 2mx + 6x)

Solving
5x = -9 + -3m + 2mx + 6x

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 + 5x = -9 + -3m + 2mx + -2mx + 6x

Combine like terms: 2mx + -2mx = 0
-2mx + 5x = -9 + -3m + 0 + 6x
-2mx + 5x = -9 + -3m + 6x

Add '-6x' to each side of the equation.
-2mx + 5x + -6x = -9 + -3m + 6x + -6x

Combine like terms: 5x + -6x = -1x
-2mx + -1x = -9 + -3m + 6x + -6x

Combine like terms: 6x + -6x = 0
-2mx + -1x = -9 + -3m + 0
-2mx + -1x = -9 + -3m

Reorder the terms:
9 + 3m + -2mx + -1x = -9 + -3m + 9 + 3m

Reorder the terms:
9 + 3m + -2mx + -1x = -9 + 9 + -3m + 3m

Combine like terms: -9 + 9 = 0
9 + 3m + -2mx + -1x = 0 + -3m + 3m
9 + 3m + -2mx + -1x = -3m + 3m

Combine like terms: -3m + 3m = 0
9 + 3m + -2mx + -1x = 0

The solution to this equation could not be determined.

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