(5x+2)3+1=x

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


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

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

Reorder the terms for easier multiplication:
3(2 + 5x) + 1 = x
(2 * 3 + 5x * 3) + 1 = x
(6 + 15x) + 1 = x

Reorder the terms:
6 + 1 + 15x = x

Combine like terms: 6 + 1 = 7
7 + 15x = x

Solving
7 + 15x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7 + 15x + -1x = x + -1x

Combine like terms: 15x + -1x = 14x
7 + 14x = x + -1x

Combine like terms: x + -1x = 0
7 + 14x = 0

Add '-7' to each side of the equation.
7 + -7 + 14x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 14x = 0 + -7
14x = 0 + -7

Combine like terms: 0 + -7 = -7
14x = -7

Divide each side by '14'.
x = -0.5

Simplifying
x = -0.5

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