2x+2(x+15)=(x+45)+(x+25)+(x+40)

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Solution for 2x+2(x+15)=(x+45)+(x+25)+(x+40) equation: 


Simplifying
2x + 2(x + 15) = (x + 45) + (x + 25) + (x + 40)

Reorder the terms:
2x + 2(15 + x) = (x + 45) + (x + 25) + (x + 40)
2x + (15 * 2 + x * 2) = (x + 45) + (x + 25) + (x + 40)
2x + (30 + 2x) = (x + 45) + (x + 25) + (x + 40)

Reorder the terms:
30 + 2x + 2x = (x + 45) + (x + 25) + (x + 40)

Combine like terms: 2x + 2x = 4x
30 + 4x = (x + 45) + (x + 25) + (x + 40)

Reorder the terms:
30 + 4x = (45 + x) + (x + 25) + (x + 40)

Remove parenthesis around (45 + x)
30 + 4x = 45 + x + (x + 25) + (x + 40)

Reorder the terms:
30 + 4x = 45 + x + (25 + x) + (x + 40)

Remove parenthesis around (25 + x)
30 + 4x = 45 + x + 25 + x + (x + 40)

Reorder the terms:
30 + 4x = 45 + x + 25 + x + (40 + x)

Remove parenthesis around (40 + x)
30 + 4x = 45 + x + 25 + x + 40 + x

Reorder the terms:
30 + 4x = 45 + 25 + 40 + x + x + x

Combine like terms: 45 + 25 = 70
30 + 4x = 70 + 40 + x + x + x

Combine like terms: 70 + 40 = 110
30 + 4x = 110 + x + x + x

Combine like terms: x + x = 2x
30 + 4x = 110 + 2x + x

Combine like terms: 2x + x = 3x
30 + 4x = 110 + 3x

Solving
30 + 4x = 110 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
30 + 4x + -3x = 110 + 3x + -3x

Combine like terms: 4x + -3x = 1x
30 + 1x = 110 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + 1x = 110 + 0
30 + 1x = 110

Add '-30' to each side of the equation.
30 + -30 + 1x = 110 + -30

Combine like terms: 30 + -30 = 0
0 + 1x = 110 + -30
1x = 110 + -30

Combine like terms: 110 + -30 = 80
1x = 80

Divide each side by '1'.
x = 80

Simplifying
x = 80

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