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

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


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

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

Reorder the terms:
2 + 6x = 3(-3 + x) + 8
2 + 6x = (-3 * 3 + x * 3) + 8
2 + 6x = (-9 + 3x) + 8

Reorder the terms:
2 + 6x = -9 + 8 + 3x

Combine like terms: -9 + 8 = -1
2 + 6x = -1 + 3x

Solving
2 + 6x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 6x + -3x = -1 + 3x + -3x

Combine like terms: 6x + -3x = 3x
2 + 3x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 3x = -1 + 0
2 + 3x = -1

Add '-2' to each side of the equation.
2 + -2 + 3x = -1 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = -1 + -2
3x = -1 + -2

Combine like terms: -1 + -2 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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