x+1+x+2+x+3+x+4+x+5=10y

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Solution for x+1+x+2+x+3+x+4+x+5=10y equation:


Simplifying
x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 10y

Reorder the terms:
1 + 2 + 3 + 4 + 5 + x + x + x + x + x = 10y

Combine like terms: 1 + 2 = 3
3 + 3 + 4 + 5 + x + x + x + x + x = 10y

Combine like terms: 3 + 3 = 6
6 + 4 + 5 + x + x + x + x + x = 10y

Combine like terms: 6 + 4 = 10
10 + 5 + x + x + x + x + x = 10y

Combine like terms: 10 + 5 = 15
15 + x + x + x + x + x = 10y

Combine like terms: x + x = 2x
15 + 2x + x + x + x = 10y

Combine like terms: 2x + x = 3x
15 + 3x + x + x = 10y

Combine like terms: 3x + x = 4x
15 + 4x + x = 10y

Combine like terms: 4x + x = 5x
15 + 5x = 10y

Solving
15 + 5x = 10y

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 5x = -15 + 10y

Combine like terms: 15 + -15 = 0
0 + 5x = -15 + 10y
5x = -15 + 10y

Divide each side by '5'.
x = -3 + 2y

Simplifying
x = -3 + 2y

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