109-(6x+16)=6(x+9)+x

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Solution for 109-(6x+16)=6(x+9)+x equation:


Simplifying
109 + -1(6x + 16) = 6(x + 9) + x

Reorder the terms:
109 + -1(16 + 6x) = 6(x + 9) + x
109 + (16 * -1 + 6x * -1) = 6(x + 9) + x
109 + (-16 + -6x) = 6(x + 9) + x

Combine like terms: 109 + -16 = 93
93 + -6x = 6(x + 9) + x

Reorder the terms:
93 + -6x = 6(9 + x) + x
93 + -6x = (9 * 6 + x * 6) + x
93 + -6x = (54 + 6x) + x

Combine like terms: 6x + x = 7x
93 + -6x = 54 + 7x

Solving
93 + -6x = 54 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
93 + -6x + -7x = 54 + 7x + -7x

Combine like terms: -6x + -7x = -13x
93 + -13x = 54 + 7x + -7x

Combine like terms: 7x + -7x = 0
93 + -13x = 54 + 0
93 + -13x = 54

Add '-93' to each side of the equation.
93 + -93 + -13x = 54 + -93

Combine like terms: 93 + -93 = 0
0 + -13x = 54 + -93
-13x = 54 + -93

Combine like terms: 54 + -93 = -39
-13x = -39

Divide each side by '-13'.
x = 3

Simplifying
x = 3

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