2(x-2)=x+2(x+2)-21

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Solution for 2(x-2)=x+2(x+2)-21 equation:


Simplifying
2(x + -2) = x + 2(x + 2) + -21

Reorder the terms:
2(-2 + x) = x + 2(x + 2) + -21
(-2 * 2 + x * 2) = x + 2(x + 2) + -21
(-4 + 2x) = x + 2(x + 2) + -21

Reorder the terms:
-4 + 2x = x + 2(2 + x) + -21
-4 + 2x = x + (2 * 2 + x * 2) + -21
-4 + 2x = x + (4 + 2x) + -21

Reorder the terms:
-4 + 2x = 4 + -21 + x + 2x

Combine like terms: 4 + -21 = -17
-4 + 2x = -17 + x + 2x

Combine like terms: x + 2x = 3x
-4 + 2x = -17 + 3x

Solving
-4 + 2x = -17 + 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.
-4 + 2x + -3x = -17 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-4 + -1x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + -1x = -17 + 0
-4 + -1x = -17

Add '4' to each side of the equation.
-4 + 4 + -1x = -17 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -17 + 4
-1x = -17 + 4

Combine like terms: -17 + 4 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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