(x+2)3-1=(2x-1)4

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


Simplifying
(x + 2) * 3 + -1 = (2x + -1) * 4

Reorder the terms:
(2 + x) * 3 + -1 = (2x + -1) * 4

Reorder the terms for easier multiplication:
3(2 + x) + -1 = (2x + -1) * 4
(2 * 3 + x * 3) + -1 = (2x + -1) * 4
(6 + 3x) + -1 = (2x + -1) * 4

Reorder the terms:
6 + -1 + 3x = (2x + -1) * 4

Combine like terms: 6 + -1 = 5
5 + 3x = (2x + -1) * 4

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

Reorder the terms for easier multiplication:
5 + 3x = 4(-1 + 2x)
5 + 3x = (-1 * 4 + 2x * 4)
5 + 3x = (-4 + 8x)

Solving
5 + 3x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
5 + 3x + -8x = -4 + 8x + -8x

Combine like terms: 3x + -8x = -5x
5 + -5x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + -5x = -4 + 0
5 + -5x = -4

Add '-5' to each side of the equation.
5 + -5 + -5x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = -4 + -5
-5x = -4 + -5

Combine like terms: -4 + -5 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

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