(4x-7)5=(12x-1)3

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Solution for (4x-7)5=(12x-1)3 equation:


Simplifying
(4x + -7) * 5 = (12x + -1) * 3

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

Reorder the terms for easier multiplication:
5(-7 + 4x) = (12x + -1) * 3
(-7 * 5 + 4x * 5) = (12x + -1) * 3
(-35 + 20x) = (12x + -1) * 3

Reorder the terms:
-35 + 20x = (-1 + 12x) * 3

Reorder the terms for easier multiplication:
-35 + 20x = 3(-1 + 12x)
-35 + 20x = (-1 * 3 + 12x * 3)
-35 + 20x = (-3 + 36x)

Solving
-35 + 20x = -3 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-35 + 20x + -36x = -3 + 36x + -36x

Combine like terms: 20x + -36x = -16x
-35 + -16x = -3 + 36x + -36x

Combine like terms: 36x + -36x = 0
-35 + -16x = -3 + 0
-35 + -16x = -3

Add '35' to each side of the equation.
-35 + 35 + -16x = -3 + 35

Combine like terms: -35 + 35 = 0
0 + -16x = -3 + 35
-16x = -3 + 35

Combine like terms: -3 + 35 = 32
-16x = 32

Divide each side by '-16'.
x = -2

Simplifying
x = -2

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