2x=(3x-2)(m+6)

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Solution for 2x=(3x-2)(m+6) equation:


Simplifying
2x = (3x + -2)(m + 6)

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

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

Multiply (-2 + 3x) * (6 + m)
2x = (-2(6 + m) + 3x * (6 + m))
2x = ((6 * -2 + m * -2) + 3x * (6 + m))
2x = ((-12 + -2m) + 3x * (6 + m))
2x = (-12 + -2m + (6 * 3x + m * 3x))

Reorder the terms:
2x = (-12 + -2m + (3mx + 18x))
2x = (-12 + -2m + (3mx + 18x))
2x = (-12 + -2m + 3mx + 18x)

Solving
2x = -12 + -2m + 3mx + 18x

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 = -12 + -2m + 3mx + -3mx + 18x

Combine like terms: 3mx + -3mx = 0
-3mx + 2x = -12 + -2m + 0 + 18x
-3mx + 2x = -12 + -2m + 18x

Add '-18x' to each side of the equation.
-3mx + 2x + -18x = -12 + -2m + 18x + -18x

Combine like terms: 2x + -18x = -16x
-3mx + -16x = -12 + -2m + 18x + -18x

Combine like terms: 18x + -18x = 0
-3mx + -16x = -12 + -2m + 0
-3mx + -16x = -12 + -2m

Reorder the terms:
12 + 2m + -3mx + -16x = -12 + -2m + 12 + 2m

Reorder the terms:
12 + 2m + -3mx + -16x = -12 + 12 + -2m + 2m

Combine like terms: -12 + 12 = 0
12 + 2m + -3mx + -16x = 0 + -2m + 2m
12 + 2m + -3mx + -16x = -2m + 2m

Combine like terms: -2m + 2m = 0
12 + 2m + -3mx + -16x = 0

The solution to this equation could not be determined.

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