6+5(x+1)=3(x-11)

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Solution for 6+5(x+1)=3(x-11) equation: 


Simplifying
6 + 5(x + 1) = 3(x + -11)

Reorder the terms:
6 + 5(1 + x) = 3(x + -11)
6 + (1 * 5 + x * 5) = 3(x + -11)
6 + (5 + 5x) = 3(x + -11)

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

Reorder the terms:
11 + 5x = 3(-11 + x)
11 + 5x = (-11 * 3 + x * 3)
11 + 5x = (-33 + 3x)

Solving
11 + 5x = -33 + 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.
11 + 5x + -3x = -33 + 3x + -3x

Combine like terms: 5x + -3x = 2x
11 + 2x = -33 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + 2x = -33 + 0
11 + 2x = -33

Add '-11' to each side of the equation.
11 + -11 + 2x = -33 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = -33 + -11
2x = -33 + -11

Combine like terms: -33 + -11 = -44
2x = -44

Divide each side by '2'.
x = -22

Simplifying
x = -22

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