2(x+10)+2x=2(x+25)+x

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Solution for 2(x+10)+2x=2(x+25)+x equation: 


Simplifying
2(x + 10) + 2x = 2(x + 25) + x

Reorder the terms:
2(10 + x) + 2x = 2(x + 25) + x
(10 * 2 + x * 2) + 2x = 2(x + 25) + x
(20 + 2x) + 2x = 2(x + 25) + x

Combine like terms: 2x + 2x = 4x
20 + 4x = 2(x + 25) + x

Reorder the terms:
20 + 4x = 2(25 + x) + x
20 + 4x = (25 * 2 + x * 2) + x
20 + 4x = (50 + 2x) + x

Combine like terms: 2x + x = 3x
20 + 4x = 50 + 3x

Solving
20 + 4x = 50 + 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.
20 + 4x + -3x = 50 + 3x + -3x

Combine like terms: 4x + -3x = 1x
20 + 1x = 50 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 1x = 50 + 0
20 + 1x = 50

Add '-20' to each side of the equation.
20 + -20 + 1x = 50 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = 50 + -20
1x = 50 + -20

Combine like terms: 50 + -20 = 30
1x = 30

Divide each side by '1'.
x = 30

Simplifying
x = 30

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