(x+5)5=13x+8

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Solution for (x+5)5=13x+8 equation:


Simplifying
(x + 5) * 5 = 13x + 8

Reorder the terms:
(5 + x) * 5 = 13x + 8

Reorder the terms for easier multiplication:
5(5 + x) = 13x + 8
(5 * 5 + x * 5) = 13x + 8
(25 + 5x) = 13x + 8

Reorder the terms:
25 + 5x = 8 + 13x

Solving
25 + 5x = 8 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
25 + 5x + -13x = 8 + 13x + -13x

Combine like terms: 5x + -13x = -8x
25 + -8x = 8 + 13x + -13x

Combine like terms: 13x + -13x = 0
25 + -8x = 8 + 0
25 + -8x = 8

Add '-25' to each side of the equation.
25 + -25 + -8x = 8 + -25

Combine like terms: 25 + -25 = 0
0 + -8x = 8 + -25
-8x = 8 + -25

Combine like terms: 8 + -25 = -17
-8x = -17

Divide each side by '-8'.
x = 2.125

Simplifying
x = 2.125

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