(11+3x)-(5-2x)=x

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Solution for (11+3x)-(5-2x)=x equation:


Simplifying
(11 + 3x) + -1(5 + -2x) = x

Remove parenthesis around (11 + 3x)
11 + 3x + -1(5 + -2x) = x
11 + 3x + (5 * -1 + -2x * -1) = x
11 + 3x + (-5 + 2x) = x

Reorder the terms:
11 + -5 + 3x + 2x = x

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

Combine like terms: 3x + 2x = 5x
6 + 5x = x

Solving
6 + 5x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 5x + -1x = x + -1x

Combine like terms: 5x + -1x = 4x
6 + 4x = x + -1x

Combine like terms: x + -1x = 0
6 + 4x = 0

Add '-6' to each side of the equation.
6 + -6 + 4x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 0 + -6
4x = 0 + -6

Combine like terms: 0 + -6 = -6
4x = -6

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5

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