3x+8-(5-2x)=x-11

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Solution for 3x+8-(5-2x)=x-11 equation:


Simplifying
3x + 8 + -1(5 + -2x) = x + -11
3x + 8 + (5 * -1 + -2x * -1) = x + -11
3x + 8 + (-5 + 2x) = x + -11

Reorder the terms:
8 + -5 + 3x + 2x = x + -11

Combine like terms: 8 + -5 = 3
3 + 3x + 2x = x + -11

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

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

Solving
3 + 5x = -11 + 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.
3 + 5x + -1x = -11 + x + -1x

Combine like terms: 5x + -1x = 4x
3 + 4x = -11 + x + -1x

Combine like terms: x + -1x = 0
3 + 4x = -11 + 0
3 + 4x = -11

Add '-3' to each side of the equation.
3 + -3 + 4x = -11 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = -11 + -3
4x = -11 + -3

Combine like terms: -11 + -3 = -14
4x = -14

Divide each side by '4'.
x = -3.5

Simplifying
x = -3.5

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