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

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


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

Reorder the terms:
11 + -2(3 + x) = 3(x + -2) + 8
11 + (3 * -2 + x * -2) = 3(x + -2) + 8
11 + (-6 + -2x) = 3(x + -2) + 8

Combine like terms: 11 + -6 = 5
5 + -2x = 3(x + -2) + 8

Reorder the terms:
5 + -2x = 3(-2 + x) + 8
5 + -2x = (-2 * 3 + x * 3) + 8
5 + -2x = (-6 + 3x) + 8

Reorder the terms:
5 + -2x = -6 + 8 + 3x

Combine like terms: -6 + 8 = 2
5 + -2x = 2 + 3x

Solving
5 + -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.
5 + -2x + -3x = 2 + 3x + -3x

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

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

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

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

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

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

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