16(x+9)-6=10(x+6)

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Solution for 16(x+9)-6=10(x+6) equation:


Simplifying
16(x + 9) + -6 = 10(x + 6)

Reorder the terms:
16(9 + x) + -6 = 10(x + 6)
(9 * 16 + x * 16) + -6 = 10(x + 6)
(144 + 16x) + -6 = 10(x + 6)

Reorder the terms:
144 + -6 + 16x = 10(x + 6)

Combine like terms: 144 + -6 = 138
138 + 16x = 10(x + 6)

Reorder the terms:
138 + 16x = 10(6 + x)
138 + 16x = (6 * 10 + x * 10)
138 + 16x = (60 + 10x)

Solving
138 + 16x = 60 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
138 + 16x + -10x = 60 + 10x + -10x

Combine like terms: 16x + -10x = 6x
138 + 6x = 60 + 10x + -10x

Combine like terms: 10x + -10x = 0
138 + 6x = 60 + 0
138 + 6x = 60

Add '-138' to each side of the equation.
138 + -138 + 6x = 60 + -138

Combine like terms: 138 + -138 = 0
0 + 6x = 60 + -138
6x = 60 + -138

Combine like terms: 60 + -138 = -78
6x = -78

Divide each side by '6'.
x = -13

Simplifying
x = -13

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