(x-5)3=3(2x-1)

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Solution for (x-5)3=3(2x-1) equation:


Simplifying
(x + -5) * 3 = 3(2x + -1)

Reorder the terms:
(-5 + x) * 3 = 3(2x + -1)

Reorder the terms for easier multiplication:
3(-5 + x) = 3(2x + -1)
(-5 * 3 + x * 3) = 3(2x + -1)
(-15 + 3x) = 3(2x + -1)

Reorder the terms:
-15 + 3x = 3(-1 + 2x)
-15 + 3x = (-1 * 3 + 2x * 3)
-15 + 3x = (-3 + 6x)

Solving
-15 + 3x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-15 + 3x + -6x = -3 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-15 + -3x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + -3x = -3 + 0
-15 + -3x = -3

Add '15' to each side of the equation.
-15 + 15 + -3x = -3 + 15

Combine like terms: -15 + 15 = 0
0 + -3x = -3 + 15
-3x = -3 + 15

Combine like terms: -3 + 15 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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