6x+(5x+1)=20-(3x-9)

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Solution for 6x+(5x+1)=20-(3x-9) equation:


Simplifying
6x + (5x + 1) = 20 + -1(3x + -9)

Reorder the terms:
6x + (1 + 5x) = 20 + -1(3x + -9)

Remove parenthesis around (1 + 5x)
6x + 1 + 5x = 20 + -1(3x + -9)

Reorder the terms:
1 + 6x + 5x = 20 + -1(3x + -9)

Combine like terms: 6x + 5x = 11x
1 + 11x = 20 + -1(3x + -9)

Reorder the terms:
1 + 11x = 20 + -1(-9 + 3x)
1 + 11x = 20 + (-9 * -1 + 3x * -1)
1 + 11x = 20 + (9 + -3x)

Combine like terms: 20 + 9 = 29
1 + 11x = 29 + -3x

Solving
1 + 11x = 29 + -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.
1 + 11x + 3x = 29 + -3x + 3x

Combine like terms: 11x + 3x = 14x
1 + 14x = 29 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 14x = 29 + 0
1 + 14x = 29

Add '-1' to each side of the equation.
1 + -1 + 14x = 29 + -1

Combine like terms: 1 + -1 = 0
0 + 14x = 29 + -1
14x = 29 + -1

Combine like terms: 29 + -1 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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