3(2x+1)+6=3(5+4x)-8x

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Solution for 3(2x+1)+6=3(5+4x)-8x equation: 


Simplifying
3(2x + 1) + 6 = 3(5 + 4x) + -8x

Reorder the terms:
3(1 + 2x) + 6 = 3(5 + 4x) + -8x
(1 * 3 + 2x * 3) + 6 = 3(5 + 4x) + -8x
(3 + 6x) + 6 = 3(5 + 4x) + -8x

Reorder the terms:
3 + 6 + 6x = 3(5 + 4x) + -8x

Combine like terms: 3 + 6 = 9
9 + 6x = 3(5 + 4x) + -8x
9 + 6x = (5 * 3 + 4x * 3) + -8x
9 + 6x = (15 + 12x) + -8x

Combine like terms: 12x + -8x = 4x
9 + 6x = 15 + 4x

Solving
9 + 6x = 15 + 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.
9 + 6x + -4x = 15 + 4x + -4x

Combine like terms: 6x + -4x = 2x
9 + 2x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 2x = 15 + 0
9 + 2x = 15

Add '-9' to each side of the equation.
9 + -9 + 2x = 15 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 15 + -9
2x = 15 + -9

Combine like terms: 15 + -9 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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