6*(x+9)-3*x+11=5*(x+1)

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Solution for 6*(x+9)-3*x+11=5*(x+1) equation: 


Simplifying
6(x + 9) + -3x + 11 = 5(x + 1)

Reorder the terms:
6(9 + x) + -3x + 11 = 5(x + 1)
(9 * 6 + x * 6) + -3x + 11 = 5(x + 1)
(54 + 6x) + -3x + 11 = 5(x + 1)

Reorder the terms:
54 + 11 + 6x + -3x = 5(x + 1)

Combine like terms: 54 + 11 = 65
65 + 6x + -3x = 5(x + 1)

Combine like terms: 6x + -3x = 3x
65 + 3x = 5(x + 1)

Reorder the terms:
65 + 3x = 5(1 + x)
65 + 3x = (1 * 5 + x * 5)
65 + 3x = (5 + 5x)

Solving
65 + 3x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
65 + 3x + -5x = 5 + 5x + -5x

Combine like terms: 3x + -5x = -2x
65 + -2x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
65 + -2x = 5 + 0
65 + -2x = 5

Add '-65' to each side of the equation.
65 + -65 + -2x = 5 + -65

Combine like terms: 65 + -65 = 0
0 + -2x = 5 + -65
-2x = 5 + -65

Combine like terms: 5 + -65 = -60
-2x = -60

Divide each side by '-2'.
x = 30

Simplifying
x = 30

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