11(x-3)-7(x-2)+(x-4)=2x+11

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Solution for 11(x-3)-7(x-2)+(x-4)=2x+11 equation: 


Simplifying
11(x + -3) + -7(x + -2) + (x + -4) = 2x + 11

Reorder the terms:
11(-3 + x) + -7(x + -2) + (x + -4) = 2x + 11
(-3 * 11 + x * 11) + -7(x + -2) + (x + -4) = 2x + 11
(-33 + 11x) + -7(x + -2) + (x + -4) = 2x + 11

Reorder the terms:
-33 + 11x + -7(-2 + x) + (x + -4) = 2x + 11
-33 + 11x + (-2 * -7 + x * -7) + (x + -4) = 2x + 11
-33 + 11x + (14 + -7x) + (x + -4) = 2x + 11

Reorder the terms:
-33 + 11x + 14 + -7x + (-4 + x) = 2x + 11

Remove parenthesis around (-4 + x)
-33 + 11x + 14 + -7x + -4 + x = 2x + 11

Reorder the terms:
-33 + 14 + -4 + 11x + -7x + x = 2x + 11

Combine like terms: -33 + 14 = -19
-19 + -4 + 11x + -7x + x = 2x + 11

Combine like terms: -19 + -4 = -23
-23 + 11x + -7x + x = 2x + 11

Combine like terms: 11x + -7x = 4x
-23 + 4x + x = 2x + 11

Combine like terms: 4x + x = 5x
-23 + 5x = 2x + 11

Reorder the terms:
-23 + 5x = 11 + 2x

Solving
-23 + 5x = 11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-23 + 5x + -2x = 11 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-23 + 3x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-23 + 3x = 11 + 0
-23 + 3x = 11

Add '23' to each side of the equation.
-23 + 23 + 3x = 11 + 23

Combine like terms: -23 + 23 = 0
0 + 3x = 11 + 23
3x = 11 + 23

Combine like terms: 11 + 23 = 34
3x = 34

Divide each side by '3'.
x = 11.33333333

Simplifying
x = 11.33333333

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