x+x+2+x+4+x+6+x+8+x+10=2(x+10)+38

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Solution for x+x+2+x+4+x+6+x+8+x+10=2(x+10)+38 equation: 


Simplifying
x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 2(x + 10) + 38

Reorder the terms:
2 + 4 + 6 + 8 + 10 + x + x + x + x + x + x = 2(x + 10) + 38

Combine like terms: 2 + 4 = 6
6 + 6 + 8 + 10 + x + x + x + x + x + x = 2(x + 10) + 38

Combine like terms: 6 + 6 = 12
12 + 8 + 10 + x + x + x + x + x + x = 2(x + 10) + 38

Combine like terms: 12 + 8 = 20
20 + 10 + x + x + x + x + x + x = 2(x + 10) + 38

Combine like terms: 20 + 10 = 30
30 + x + x + x + x + x + x = 2(x + 10) + 38

Combine like terms: x + x = 2x
30 + 2x + x + x + x + x = 2(x + 10) + 38

Combine like terms: 2x + x = 3x
30 + 3x + x + x + x = 2(x + 10) + 38

Combine like terms: 3x + x = 4x
30 + 4x + x + x = 2(x + 10) + 38

Combine like terms: 4x + x = 5x
30 + 5x + x = 2(x + 10) + 38

Combine like terms: 5x + x = 6x
30 + 6x = 2(x + 10) + 38

Reorder the terms:
30 + 6x = 2(10 + x) + 38
30 + 6x = (10 * 2 + x * 2) + 38
30 + 6x = (20 + 2x) + 38

Reorder the terms:
30 + 6x = 20 + 38 + 2x

Combine like terms: 20 + 38 = 58
30 + 6x = 58 + 2x

Solving
30 + 6x = 58 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
30 + 6x + -2x = 58 + 2x + -2x

Combine like terms: 6x + -2x = 4x
30 + 4x = 58 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + 4x = 58 + 0
30 + 4x = 58

Add '-30' to each side of the equation.
30 + -30 + 4x = 58 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = 58 + -30
4x = 58 + -30

Combine like terms: 58 + -30 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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