2(2x-1)-(x+5)=5

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Solution for 2(2x-1)-(x+5)=5 equation: 


Simplifying
2(2x + -1) + -1(x + 5) = 5

Reorder the terms:
2(-1 + 2x) + -1(x + 5) = 5
(-1 * 2 + 2x * 2) + -1(x + 5) = 5
(-2 + 4x) + -1(x + 5) = 5

Reorder the terms:
-2 + 4x + -1(5 + x) = 5
-2 + 4x + (5 * -1 + x * -1) = 5
-2 + 4x + (-5 + -1x) = 5

Reorder the terms:
-2 + -5 + 4x + -1x = 5

Combine like terms: -2 + -5 = -7
-7 + 4x + -1x = 5

Combine like terms: 4x + -1x = 3x
-7 + 3x = 5

Solving
-7 + 3x = 5

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 3x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 5 + 7
3x = 5 + 7

Combine like terms: 5 + 7 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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