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

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


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

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

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

Reorder the terms:
2 + 3 + -8 + -12 + 6x + -3x = 6

Combine like terms: 2 + 3 = 5
5 + -8 + -12 + 6x + -3x = 6

Combine like terms: 5 + -8 = -3
-3 + -12 + 6x + -3x = 6

Combine like terms: -3 + -12 = -15
-15 + 6x + -3x = 6

Combine like terms: 6x + -3x = 3x
-15 + 3x = 6

Solving
-15 + 3x = 6

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 3x = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = 6 + 15
3x = 6 + 15

Combine like terms: 6 + 15 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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