2x=(3x-2)(m+7)

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Solution for 2x=(3x-2)(m+7) equation:


Simplifying
2x = (3x + -2)(m + 7)

Reorder the terms:
2x = (-2 + 3x)(m + 7)

Reorder the terms:
2x = (-2 + 3x)(7 + m)

Multiply (-2 + 3x) * (7 + m)
2x = (-2(7 + m) + 3x * (7 + m))
2x = ((7 * -2 + m * -2) + 3x * (7 + m))
2x = ((-14 + -2m) + 3x * (7 + m))
2x = (-14 + -2m + (7 * 3x + m * 3x))

Reorder the terms:
2x = (-14 + -2m + (3mx + 21x))
2x = (-14 + -2m + (3mx + 21x))
2x = (-14 + -2m + 3mx + 21x)

Solving
2x = -14 + -2m + 3mx + 21x

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 = -14 + -2m + 3mx + -3mx + 21x

Combine like terms: 3mx + -3mx = 0
-3mx + 2x = -14 + -2m + 0 + 21x
-3mx + 2x = -14 + -2m + 21x

Add '-21x' to each side of the equation.
-3mx + 2x + -21x = -14 + -2m + 21x + -21x

Combine like terms: 2x + -21x = -19x
-3mx + -19x = -14 + -2m + 21x + -21x

Combine like terms: 21x + -21x = 0
-3mx + -19x = -14 + -2m + 0
-3mx + -19x = -14 + -2m

Reorder the terms:
14 + 2m + -3mx + -19x = -14 + -2m + 14 + 2m

Reorder the terms:
14 + 2m + -3mx + -19x = -14 + 14 + -2m + 2m

Combine like terms: -14 + 14 = 0
14 + 2m + -3mx + -19x = 0 + -2m + 2m
14 + 2m + -3mx + -19x = -2m + 2m

Combine like terms: -2m + 2m = 0
14 + 2m + -3mx + -19x = 0

The solution to this equation could not be determined.

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