2(4-x)-3(x-7)-8=16x

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Solution for 2(4-x)-3(x-7)-8=16x equation: 


Simplifying
2(4 + -1x) + -3(x + -7) + -8 = 16x
(4 * 2 + -1x * 2) + -3(x + -7) + -8 = 16x
(8 + -2x) + -3(x + -7) + -8 = 16x

Reorder the terms:
8 + -2x + -3(-7 + x) + -8 = 16x
8 + -2x + (-7 * -3 + x * -3) + -8 = 16x
8 + -2x + (21 + -3x) + -8 = 16x

Reorder the terms:
8 + 21 + -8 + -2x + -3x = 16x

Combine like terms: 8 + 21 = 29
29 + -8 + -2x + -3x = 16x

Combine like terms: 29 + -8 = 21
21 + -2x + -3x = 16x

Combine like terms: -2x + -3x = -5x
21 + -5x = 16x

Solving
21 + -5x = 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
21 + -5x + -16x = 16x + -16x

Combine like terms: -5x + -16x = -21x
21 + -21x = 16x + -16x

Combine like terms: 16x + -16x = 0
21 + -21x = 0

Add '-21' to each side of the equation.
21 + -21 + -21x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -21x = 0 + -21
-21x = 0 + -21

Combine like terms: 0 + -21 = -21
-21x = -21

Divide each side by '-21'.
x = 1

Simplifying
x = 1

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