x+x+1+x+2+x+3+x+4=61

Solution for x+x+1+x+2+x+3+x+4=61 equation:

Simplifying
x + x + 1 + x + 2 + x + 3 + x + 4 = 61

Reorder the terms:
1 + 2 + 3 + 4 + x + x + x + x + x = 61

Combine like terms: 1 + 2 = 3
3 + 3 + 4 + x + x + x + x + x = 61

Combine like terms: 3 + 3 = 6
6 + 4 + x + x + x + x + x = 61

Combine like terms: 6 + 4 = 10
10 + x + x + x + x + x = 61

Combine like terms: x + x = 2x
10 + 2x + x + x + x = 61

Combine like terms: 2x + x = 3x
10 + 3x + x + x = 61

Combine like terms: 3x + x = 4x
10 + 4x + x = 61

Combine like terms: 4x + x = 5x
10 + 5x = 61

Solving
10 + 5x = 61

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 5x = 61 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 61 + -10
5x = 61 + -10

Combine like terms: 61 + -10 = 51
5x = 51

Divide each side by '5'.
x = 10.2

Simplifying
x = 10.2