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

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


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

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

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

Reorder the terms:
8 + 2 + 2x + -1x = 5

Combine like terms: 8 + 2 = 10
10 + 2x + -1x = 5

Combine like terms: 2x + -1x = 1x
10 + 1x = 5

Solving
10 + 1x = 5

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 1x = 5 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 5 + -10
1x = 5 + -10

Combine like terms: 5 + -10 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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