x-5=8-2(x+2)

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Solution for x-5=8-2(x+2) equation:


Simplifying
x + -5 = 8 + -2(x + 2)

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

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

Combine like terms: 8 + -4 = 4
-5 + x = 4 + -2x

Solving
-5 + x = 4 + -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.
-5 + x + 2x = 4 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-5 + 3x = 4 + 0
-5 + 3x = 4

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

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

Combine like terms: 4 + 5 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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