11-6(x+2)+3(x+3)=5x

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Solution for 11-6(x+2)+3(x+3)=5x equation: 


Simplifying
11 + -6(x + 2) + 3(x + 3) = 5x

Reorder the terms:
11 + -6(2 + x) + 3(x + 3) = 5x
11 + (2 * -6 + x * -6) + 3(x + 3) = 5x
11 + (-12 + -6x) + 3(x + 3) = 5x

Reorder the terms:
11 + -12 + -6x + 3(3 + x) = 5x
11 + -12 + -6x + (3 * 3 + x * 3) = 5x
11 + -12 + -6x + (9 + 3x) = 5x

Reorder the terms:
11 + -12 + 9 + -6x + 3x = 5x

Combine like terms: 11 + -12 = -1
-1 + 9 + -6x + 3x = 5x

Combine like terms: -1 + 9 = 8
8 + -6x + 3x = 5x

Combine like terms: -6x + 3x = -3x
8 + -3x = 5x

Solving
8 + -3x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + -3x + -5x = 5x + -5x

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

Combine like terms: 5x + -5x = 0
8 + -8x = 0

Add '-8' to each side of the equation.
8 + -8 + -8x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -8x = 0 + -8
-8x = 0 + -8

Combine like terms: 0 + -8 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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