11=7(x+1)-2(3-8x)-3x

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Solution for 11=7(x+1)-2(3-8x)-3x equation: 


Simplifying
11 = 7(x + 1) + -2(3 + -8x) + -3x

Reorder the terms:
11 = 7(1 + x) + -2(3 + -8x) + -3x
11 = (1 * 7 + x * 7) + -2(3 + -8x) + -3x
11 = (7 + 7x) + -2(3 + -8x) + -3x
11 = 7 + 7x + (3 * -2 + -8x * -2) + -3x
11 = 7 + 7x + (-6 + 16x) + -3x

Reorder the terms:
11 = 7 + -6 + 7x + 16x + -3x

Combine like terms: 7 + -6 = 1
11 = 1 + 7x + 16x + -3x

Combine like terms: 7x + 16x = 23x
11 = 1 + 23x + -3x

Combine like terms: 23x + -3x = 20x
11 = 1 + 20x

Solving
11 = 1 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
11 + -20x = 1 + 20x + -20x

Combine like terms: 20x + -20x = 0
11 + -20x = 1 + 0
11 + -20x = 1

Add '-11' to each side of the equation.
11 + -11 + -20x = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -20x = 1 + -11
-20x = 1 + -11

Combine like terms: 1 + -11 = -10
-20x = -10

Divide each side by '-20'.
x = 0.5

Simplifying
x = 0.5

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