13x-2(x+8)=8x+1

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Solution for 13x-2(x+8)=8x+1 equation: 


Simplifying
13x + -2(x + 8) = 8x + 1

Reorder the terms:
13x + -2(8 + x) = 8x + 1
13x + (8 * -2 + x * -2) = 8x + 1
13x + (-16 + -2x) = 8x + 1

Reorder the terms:
-16 + 13x + -2x = 8x + 1

Combine like terms: 13x + -2x = 11x
-16 + 11x = 8x + 1

Reorder the terms:
-16 + 11x = 1 + 8x

Solving
-16 + 11x = 1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-16 + 11x + -8x = 1 + 8x + -8x

Combine like terms: 11x + -8x = 3x
-16 + 3x = 1 + 8x + -8x

Combine like terms: 8x + -8x = 0
-16 + 3x = 1 + 0
-16 + 3x = 1

Add '16' to each side of the equation.
-16 + 16 + 3x = 1 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = 1 + 16
3x = 1 + 16

Combine like terms: 1 + 16 = 17
3x = 17

Divide each side by '3'.
x = 5.666666667

Simplifying
x = 5.666666667

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