(3x-1)-(x+2)+(2x-11)=0

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Solution for (3x-1)-(x+2)+(2x-11)=0 equation:


Simplifying
(3x + -1) + -1(x + 2) + (2x + -11) = 0

Reorder the terms:
(-1 + 3x) + -1(x + 2) + (2x + -11) = 0

Remove parenthesis around (-1 + 3x)
-1 + 3x + -1(x + 2) + (2x + -11) = 0

Reorder the terms:
-1 + 3x + -1(2 + x) + (2x + -11) = 0
-1 + 3x + (2 * -1 + x * -1) + (2x + -11) = 0
-1 + 3x + (-2 + -1x) + (2x + -11) = 0

Reorder the terms:
-1 + 3x + -2 + -1x + (-11 + 2x) = 0

Remove parenthesis around (-11 + 2x)
-1 + 3x + -2 + -1x + -11 + 2x = 0

Reorder the terms:
-1 + -2 + -11 + 3x + -1x + 2x = 0

Combine like terms: -1 + -2 = -3
-3 + -11 + 3x + -1x + 2x = 0

Combine like terms: -3 + -11 = -14
-14 + 3x + -1x + 2x = 0

Combine like terms: 3x + -1x = 2x
-14 + 2x + 2x = 0

Combine like terms: 2x + 2x = 4x
-14 + 4x = 0

Solving
-14 + 4x = 0

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 4x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 0 + 14
4x = 0 + 14

Combine like terms: 0 + 14 = 14
4x = 14

Divide each side by '4'.
x = 3.5

Simplifying
x = 3.5

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