5(3x+5)=5(5x+1)

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


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

Reorder the terms:
5(5 + 3x) = 5(5x + 1)
(5 * 5 + 3x * 5) = 5(5x + 1)
(25 + 15x) = 5(5x + 1)

Reorder the terms:
25 + 15x = 5(1 + 5x)
25 + 15x = (1 * 5 + 5x * 5)
25 + 15x = (5 + 25x)

Solving
25 + 15x = 5 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
25 + 15x + -25x = 5 + 25x + -25x

Combine like terms: 15x + -25x = -10x
25 + -10x = 5 + 25x + -25x

Combine like terms: 25x + -25x = 0
25 + -10x = 5 + 0
25 + -10x = 5

Add '-25' to each side of the equation.
25 + -25 + -10x = 5 + -25

Combine like terms: 25 + -25 = 0
0 + -10x = 5 + -25
-10x = 5 + -25

Combine like terms: 5 + -25 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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