2(15-2x)+2(x+7)=38

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Solution for 2(15-2x)+2(x+7)=38 equation: 


Simplifying
2(15 + -2x) + 2(x + 7) = 38
(15 * 2 + -2x * 2) + 2(x + 7) = 38
(30 + -4x) + 2(x + 7) = 38

Reorder the terms:
30 + -4x + 2(7 + x) = 38
30 + -4x + (7 * 2 + x * 2) = 38
30 + -4x + (14 + 2x) = 38

Reorder the terms:
30 + 14 + -4x + 2x = 38

Combine like terms: 30 + 14 = 44
44 + -4x + 2x = 38

Combine like terms: -4x + 2x = -2x
44 + -2x = 38

Solving
44 + -2x = 38

Solving for variable 'x'.

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

Add '-44' to each side of the equation.
44 + -44 + -2x = 38 + -44

Combine like terms: 44 + -44 = 0
0 + -2x = 38 + -44
-2x = 38 + -44

Combine like terms: 38 + -44 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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