3X(x+4)-7=5X(x+1)-2x

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Solution for 3X(x+4)-7=5X(x+1)-2x equation: 


Simplifying
3X(x + 4) + -7 = 5X(x + 1) + -2x

Reorder the terms:
3X(4 + x) + -7 = 5X(x + 1) + -2x
(4 * 3X + x * 3X) + -7 = 5X(x + 1) + -2x
(12X + 3xX) + -7 = 5X(x + 1) + -2x

Reorder the terms:
-7 + 12X + 3xX = 5X(x + 1) + -2x

Reorder the terms:
-7 + 12X + 3xX = 5X(1 + x) + -2x
-7 + 12X + 3xX = (1 * 5X + x * 5X) + -2x
-7 + 12X + 3xX = (5X + 5xX) + -2x

Reorder the terms:
-7 + 12X + 3xX = 5X + -2x + 5xX

Solving
-7 + 12X + 3xX = 5X + -2x + 5xX

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-5X' to each side of the equation.
-7 + 12X + -5X + 3xX = 5X + -2x + -5X + 5xX

Combine like terms: 12X + -5X = 7X
-7 + 7X + 3xX = 5X + -2x + -5X + 5xX

Reorder the terms:
-7 + 7X + 3xX = 5X + -5X + -2x + 5xX

Combine like terms: 5X + -5X = 0
-7 + 7X + 3xX = 0 + -2x + 5xX
-7 + 7X + 3xX = -2x + 5xX

Add '-5xX' to each side of the equation.
-7 + 7X + 3xX + -5xX = -2x + 5xX + -5xX

Combine like terms: 3xX + -5xX = -2xX
-7 + 7X + -2xX = -2x + 5xX + -5xX

Combine like terms: 5xX + -5xX = 0
-7 + 7X + -2xX = -2x + 0
-7 + 7X + -2xX = -2x

Add '7' to each side of the equation.
-7 + 7X + 7 + -2xX = 7 + -2x

Reorder the terms:
-7 + 7 + 7X + -2xX = 7 + -2x

Combine like terms: -7 + 7 = 0
0 + 7X + -2xX = 7 + -2x
7X + -2xX = 7 + -2x

Reorder the terms:
-7 + 7X + 2x + -2xX = 7 + -2x + -7 + 2x

Reorder the terms:
-7 + 7X + 2x + -2xX = 7 + -7 + -2x + 2x

Combine like terms: 7 + -7 = 0
-7 + 7X + 2x + -2xX = 0 + -2x + 2x
-7 + 7X + 2x + -2xX = -2x + 2x

Combine like terms: -2x + 2x = 0
-7 + 7X + 2x + -2xX = 0

The solution to this equation could not be determined.

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