(x+5)-2(x+2)=20

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Solution for (x+5)-2(x+2)=20 equation:


Simplifying
(x + 5) + -2(x + 2) = 20

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

Remove parenthesis around (5 + x)
5 + x + -2(x + 2) = 20

Reorder the terms:
5 + x + -2(2 + x) = 20
5 + x + (2 * -2 + x * -2) = 20
5 + x + (-4 + -2x) = 20

Reorder the terms:
5 + -4 + x + -2x = 20

Combine like terms: 5 + -4 = 1
1 + x + -2x = 20

Combine like terms: x + -2x = -1x
1 + -1x = 20

Solving
1 + -1x = 20

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 20 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 20 + -1
-1x = 20 + -1

Combine like terms: 20 + -1 = 19
-1x = 19

Divide each side by '-1'.
x = -19

Simplifying
x = -19

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