5+3(x+2)=3-(x+2)

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Solution for 5+3(x+2)=3-(x+2) equation: 


Simplifying
5 + 3(x + 2) = 3 + -1(x + 2)

Reorder the terms:
5 + 3(2 + x) = 3 + -1(x + 2)
5 + (2 * 3 + x * 3) = 3 + -1(x + 2)
5 + (6 + 3x) = 3 + -1(x + 2)

Combine like terms: 5 + 6 = 11
11 + 3x = 3 + -1(x + 2)

Reorder the terms:
11 + 3x = 3 + -1(2 + x)
11 + 3x = 3 + (2 * -1 + x * -1)
11 + 3x = 3 + (-2 + -1x)

Combine like terms: 3 + -2 = 1
11 + 3x = 1 + -1x

Solving
11 + 3x = 1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
11 + 3x + x = 1 + -1x + x

Combine like terms: 3x + x = 4x
11 + 4x = 1 + -1x + x

Combine like terms: -1x + x = 0
11 + 4x = 1 + 0
11 + 4x = 1

Add '-11' to each side of the equation.
11 + -11 + 4x = 1 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = 1 + -11
4x = 1 + -11

Combine like terms: 1 + -11 = -10
4x = -10

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5

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