(5x+3)=(3x+7)abc

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Solution for (5x+3)=(3x+7)abc equation:


Simplifying
(5x + 3) = (3x + 7) * abc

Reorder the terms:
(3 + 5x) = (3x + 7) * abc

Remove parenthesis around (3 + 5x)
3 + 5x = (3x + 7) * abc

Reorder the terms:
3 + 5x = (7 + 3x) * abc

Reorder the terms for easier multiplication:
3 + 5x = abc(7 + 3x)
3 + 5x = (7 * abc + 3x * abc)
3 + 5x = (7abc + 3abcx)

Solving
3 + 5x = 7abc + 3abcx

Solving for variable 'x'.

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

Add '-3abcx' to each side of the equation.
3 + -3abcx + 5x = 7abc + 3abcx + -3abcx

Combine like terms: 3abcx + -3abcx = 0
3 + -3abcx + 5x = 7abc + 0
3 + -3abcx + 5x = 7abc

Add '-3' to each side of the equation.
3 + -3abcx + -3 + 5x = -3 + 7abc

Reorder the terms:
3 + -3 + -3abcx + 5x = -3 + 7abc

Combine like terms: 3 + -3 = 0
0 + -3abcx + 5x = -3 + 7abc
-3abcx + 5x = -3 + 7abc

Reorder the terms:
3 + -7abc + -3abcx + 5x = -3 + 7abc + 3 + -7abc

Reorder the terms:
3 + -7abc + -3abcx + 5x = -3 + 3 + 7abc + -7abc

Combine like terms: -3 + 3 = 0
3 + -7abc + -3abcx + 5x = 0 + 7abc + -7abc
3 + -7abc + -3abcx + 5x = 7abc + -7abc

Combine like terms: 7abc + -7abc = 0
3 + -7abc + -3abcx + 5x = 0

The solution to this equation could not be determined.

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