3x=(4x-3)(m+9)

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Solution for 3x=(4x-3)(m+9) equation:


Simplifying
3x = (4x + -3)(m + 9)

Reorder the terms:
3x = (-3 + 4x)(m + 9)

Reorder the terms:
3x = (-3 + 4x)(9 + m)

Multiply (-3 + 4x) * (9 + m)
3x = (-3(9 + m) + 4x * (9 + m))
3x = ((9 * -3 + m * -3) + 4x * (9 + m))
3x = ((-27 + -3m) + 4x * (9 + m))
3x = (-27 + -3m + (9 * 4x + m * 4x))

Reorder the terms:
3x = (-27 + -3m + (4mx + 36x))
3x = (-27 + -3m + (4mx + 36x))
3x = (-27 + -3m + 4mx + 36x)

Solving
3x = -27 + -3m + 4mx + 36x

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 = -27 + -3m + 4mx + -4mx + 36x

Combine like terms: 4mx + -4mx = 0
-4mx + 3x = -27 + -3m + 0 + 36x
-4mx + 3x = -27 + -3m + 36x

Add '-36x' to each side of the equation.
-4mx + 3x + -36x = -27 + -3m + 36x + -36x

Combine like terms: 3x + -36x = -33x
-4mx + -33x = -27 + -3m + 36x + -36x

Combine like terms: 36x + -36x = 0
-4mx + -33x = -27 + -3m + 0
-4mx + -33x = -27 + -3m

Reorder the terms:
27 + 3m + -4mx + -33x = -27 + -3m + 27 + 3m

Reorder the terms:
27 + 3m + -4mx + -33x = -27 + 27 + -3m + 3m

Combine like terms: -27 + 27 = 0
27 + 3m + -4mx + -33x = 0 + -3m + 3m
27 + 3m + -4mx + -33x = -3m + 3m

Combine like terms: -3m + 3m = 0
27 + 3m + -4mx + -33x = 0

The solution to this equation could not be determined.

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