2x+x-23=2-2(x-20)

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Solution for 2x+x-23=2-2(x-20) equation: 


Simplifying
2x + x + -23 = 2 + -2(x + -20)

Reorder the terms:
-23 + 2x + x = 2 + -2(x + -20)

Combine like terms: 2x + x = 3x
-23 + 3x = 2 + -2(x + -20)

Reorder the terms:
-23 + 3x = 2 + -2(-20 + x)
-23 + 3x = 2 + (-20 * -2 + x * -2)
-23 + 3x = 2 + (40 + -2x)

Combine like terms: 2 + 40 = 42
-23 + 3x = 42 + -2x

Solving
-23 + 3x = 42 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-23 + 3x + 2x = 42 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-23 + 5x = 42 + -2x + 2x

Combine like terms: -2x + 2x = 0
-23 + 5x = 42 + 0
-23 + 5x = 42

Add '23' to each side of the equation.
-23 + 23 + 5x = 42 + 23

Combine like terms: -23 + 23 = 0
0 + 5x = 42 + 23
5x = 42 + 23

Combine like terms: 42 + 23 = 65
5x = 65

Divide each side by '5'.
x = 13

Simplifying
x = 13

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