(3x+5)=11-(x+9)

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Solution for (3x+5)=11-(x+9) equation:


Simplifying
(3x + 5) = 11 + -1(x + 9)

Reorder the terms:
(5 + 3x) = 11 + -1(x + 9)

Remove parenthesis around (5 + 3x)
5 + 3x = 11 + -1(x + 9)

Reorder the terms:
5 + 3x = 11 + -1(9 + x)
5 + 3x = 11 + (9 * -1 + x * -1)
5 + 3x = 11 + (-9 + -1x)

Combine like terms: 11 + -9 = 2
5 + 3x = 2 + -1x

Solving
5 + 3x = 2 + -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.
5 + 3x + x = 2 + -1x + x

Combine like terms: 3x + x = 4x
5 + 4x = 2 + -1x + x

Combine like terms: -1x + x = 0
5 + 4x = 2 + 0
5 + 4x = 2

Add '-5' to each side of the equation.
5 + -5 + 4x = 2 + -5

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

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

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75

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