3(2x+1)+6x=83-4x

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Solution for 3(2x+1)+6x=83-4x equation:


Simplifying
3(2x + 1) + 6x = 83 + -4x

Reorder the terms:
3(1 + 2x) + 6x = 83 + -4x
(1 * 3 + 2x * 3) + 6x = 83 + -4x
(3 + 6x) + 6x = 83 + -4x

Combine like terms: 6x + 6x = 12x
3 + 12x = 83 + -4x

Solving
3 + 12x = 83 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
3 + 12x + 4x = 83 + -4x + 4x

Combine like terms: 12x + 4x = 16x
3 + 16x = 83 + -4x + 4x

Combine like terms: -4x + 4x = 0
3 + 16x = 83 + 0
3 + 16x = 83

Add '-3' to each side of the equation.
3 + -3 + 16x = 83 + -3

Combine like terms: 3 + -3 = 0
0 + 16x = 83 + -3
16x = 83 + -3

Combine like terms: 83 + -3 = 80
16x = 80

Divide each side by '16'.
x = 5

Simplifying
x = 5

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