3(4x+2)+35=16x+8-2x

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Solution for 3(4x+2)+35=16x+8-2x equation: 


Simplifying
3(4x + 2) + 35 = 16x + 8 + -2x

Reorder the terms:
3(2 + 4x) + 35 = 16x + 8 + -2x
(2 * 3 + 4x * 3) + 35 = 16x + 8 + -2x
(6 + 12x) + 35 = 16x + 8 + -2x

Reorder the terms:
6 + 35 + 12x = 16x + 8 + -2x

Combine like terms: 6 + 35 = 41
41 + 12x = 16x + 8 + -2x

Reorder the terms:
41 + 12x = 8 + 16x + -2x

Combine like terms: 16x + -2x = 14x
41 + 12x = 8 + 14x

Solving
41 + 12x = 8 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
41 + 12x + -14x = 8 + 14x + -14x

Combine like terms: 12x + -14x = -2x
41 + -2x = 8 + 14x + -14x

Combine like terms: 14x + -14x = 0
41 + -2x = 8 + 0
41 + -2x = 8

Add '-41' to each side of the equation.
41 + -41 + -2x = 8 + -41

Combine like terms: 41 + -41 = 0
0 + -2x = 8 + -41
-2x = 8 + -41

Combine like terms: 8 + -41 = -33
-2x = -33

Divide each side by '-2'.
x = 16.5

Simplifying
x = 16.5

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