2(x+4)-(5-2x)=5

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Solution for 2(x+4)-(5-2x)=5 equation:


Simplifying
2(x + 4) + -1(5 + -2x) = 5

Reorder the terms:
2(4 + x) + -1(5 + -2x) = 5
(4 * 2 + x * 2) + -1(5 + -2x) = 5
(8 + 2x) + -1(5 + -2x) = 5
8 + 2x + (5 * -1 + -2x * -1) = 5
8 + 2x + (-5 + 2x) = 5

Reorder the terms:
8 + -5 + 2x + 2x = 5

Combine like terms: 8 + -5 = 3
3 + 2x + 2x = 5

Combine like terms: 2x + 2x = 4x
3 + 4x = 5

Solving
3 + 4x = 5

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 4x = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 5 + -3
4x = 5 + -3

Combine like terms: 5 + -3 = 2
4x = 2

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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