(1+2+3+4+5)x=x+2x+3x+4x+25

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Solution for (1+2+3+4+5)x=x+2x+3x+4x+25 equation: 


Simplifying
(1 + 2 + 3 + 4 + 5) * x = x + 2x + 3x + 4x + 25

Combine like terms: 1 + 2 = 3
(3 + 3 + 4 + 5) * x = x + 2x + 3x + 4x + 25

Combine like terms: 3 + 3 = 6
(6 + 4 + 5) * x = x + 2x + 3x + 4x + 25

Combine like terms: 6 + 4 = 10
(10 + 5) * x = x + 2x + 3x + 4x + 25

Combine like terms: 10 + 5 = 15
(15) * x = x + 2x + 3x + 4x + 25

Reorder the terms:
15x = 25 + x + 2x + 3x + 4x

Combine like terms: x + 2x = 3x
15x = 25 + 3x + 3x + 4x

Combine like terms: 3x + 3x = 6x
15x = 25 + 6x + 4x

Combine like terms: 6x + 4x = 10x
15x = 25 + 10x

Solving
15x = 25 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
15x + -10x = 25 + 10x + -10x

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

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

Divide each side by '5'.
x = 5

Simplifying
x = 5

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