(x+4)-2(x+2)+3=13+2x

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Solution for (x+4)-2(x+2)+3=13+2x equation: 


Simplifying
(x + 4) + -2(x + 2) + 3 = 13 + 2x

Reorder the terms:
(4 + x) + -2(x + 2) + 3 = 13 + 2x

Remove parenthesis around (4 + x)
4 + x + -2(x + 2) + 3 = 13 + 2x

Reorder the terms:
4 + x + -2(2 + x) + 3 = 13 + 2x
4 + x + (2 * -2 + x * -2) + 3 = 13 + 2x
4 + x + (-4 + -2x) + 3 = 13 + 2x

Reorder the terms:
4 + -4 + 3 + x + -2x = 13 + 2x

Combine like terms: 4 + -4 = 0
0 + 3 + x + -2x = 13 + 2x
3 + x + -2x = 13 + 2x

Combine like terms: x + -2x = -1x
3 + -1x = 13 + 2x

Solving
3 + -1x = 13 + 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.
3 + -1x + -2x = 13 + 2x + -2x

Combine like terms: -1x + -2x = -3x
3 + -3x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -3x = 13 + 0
3 + -3x = 13

Add '-3' to each side of the equation.
3 + -3 + -3x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = 13 + -3
-3x = 13 + -3

Combine like terms: 13 + -3 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

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