16(X+7)=8(X+1)+2X

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Solution for 16(X+7)=8(X+1)+2X equation: 


Simplifying
16(X + 7) = 8(X + 1) + 2X

Reorder the terms:
16(7 + X) = 8(X + 1) + 2X
(7 * 16 + X * 16) = 8(X + 1) + 2X
(112 + 16X) = 8(X + 1) + 2X

Reorder the terms:
112 + 16X = 8(1 + X) + 2X
112 + 16X = (1 * 8 + X * 8) + 2X
112 + 16X = (8 + 8X) + 2X

Combine like terms: 8X + 2X = 10X
112 + 16X = 8 + 10X

Solving
112 + 16X = 8 + 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.
112 + 16X + -10X = 8 + 10X + -10X

Combine like terms: 16X + -10X = 6X
112 + 6X = 8 + 10X + -10X

Combine like terms: 10X + -10X = 0
112 + 6X = 8 + 0
112 + 6X = 8

Add '-112' to each side of the equation.
112 + -112 + 6X = 8 + -112

Combine like terms: 112 + -112 = 0
0 + 6X = 8 + -112
6X = 8 + -112

Combine like terms: 8 + -112 = -104
6X = -104

Divide each side by '6'.
X = -17.33333333

Simplifying
X = -17.33333333

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