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

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


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

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

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

Multiply (-3 + 2x) * (7 + m)
3x = (-3(7 + m) + 2x * (7 + m))
3x = ((7 * -3 + m * -3) + 2x * (7 + m))
3x = ((-21 + -3m) + 2x * (7 + m))
3x = (-21 + -3m + (7 * 2x + m * 2x))

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

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

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

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

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

Combine like terms: 3x + -14x = -11x
-2mx + -11x = -21 + -3m + 14x + -14x

Combine like terms: 14x + -14x = 0
-2mx + -11x = -21 + -3m + 0
-2mx + -11x = -21 + -3m

Reorder the terms:
21 + 3m + -2mx + -11x = -21 + -3m + 21 + 3m

Reorder the terms:
21 + 3m + -2mx + -11x = -21 + 21 + -3m + 3m

Combine like terms: -21 + 21 = 0
21 + 3m + -2mx + -11x = 0 + -3m + 3m
21 + 3m + -2mx + -11x = -3m + 3m

Combine like terms: -3m + 3m = 0
21 + 3m + -2mx + -11x = 0

The solution to this equation could not be determined.

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