11-2(x-9)=3(x+1)-5

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Solution for 11-2(x-9)=3(x+1)-5 equation: 


Simplifying
11 + -2(x + -9) = 3(x + 1) + -5

Reorder the terms:
11 + -2(-9 + x) = 3(x + 1) + -5
11 + (-9 * -2 + x * -2) = 3(x + 1) + -5
11 + (18 + -2x) = 3(x + 1) + -5

Combine like terms: 11 + 18 = 29
29 + -2x = 3(x + 1) + -5

Reorder the terms:
29 + -2x = 3(1 + x) + -5
29 + -2x = (1 * 3 + x * 3) + -5
29 + -2x = (3 + 3x) + -5

Reorder the terms:
29 + -2x = 3 + -5 + 3x

Combine like terms: 3 + -5 = -2
29 + -2x = -2 + 3x

Solving
29 + -2x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
29 + -2x + -3x = -2 + 3x + -3x

Combine like terms: -2x + -3x = -5x
29 + -5x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
29 + -5x = -2 + 0
29 + -5x = -2

Add '-29' to each side of the equation.
29 + -29 + -5x = -2 + -29

Combine like terms: 29 + -29 = 0
0 + -5x = -2 + -29
-5x = -2 + -29

Combine like terms: -2 + -29 = -31
-5x = -31

Divide each side by '-5'.
x = 6.2

Simplifying
x = 6.2

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