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 = 16
16 + -4x + 2x = 38

Combine like terms: -4x + 2x = -2x
16 + -2x = 38

Solving
16 + -2x = 38

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + -2x = 38 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 38 + -16
-2x = 38 + -16

Combine like terms: 38 + -16 = 22
-2x = 22

Divide each side by '-2'.
x = -11

Simplifying
x = -11

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